共查询到20条相似文献,搜索用时 46 毫秒
1.
Alexander Weinstein 《Annali di Matematica Pura ed Applicata》1957,43(1):325-340
Summary Investigation of the Euler-Poisson-Darboux equation for special initial values. Generalized transformation ofTricomi-Cibrario. Extension of classical theorems ofF. Riesz andP. Montel on mean values of subharmonic functions.
This research was supported in part by the United States Air Force under Contract AF 18(600)573 — monitored by the Office
of Scientific Research, Air Research and Development Command. 相似文献
2.
F. J. Bureau 《Annali di Matematica Pura ed Applicata》1960,51(1):225-299
Summary Finite part and logarithmic part of some divergent integrals with applications to theCauchy problem.
A Giovanni Sansone nel suo 70mo compleanno.
The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research of the Air
Research and Development Command, United States Air Force, through its European Office under Contract AF 61 (056)-86. 相似文献
3.
Robert W. Carroll 《Annali di Matematica Pura ed Applicata》1961,56(1):1-31
Summary Existence and uniqueness theorems for some generalizedEuler-Poisson-Darboux equations are proved and growth and convexity properties of the solutions are studied for multiply subharmonic initial values.
This research was supported in part by the United States Air Force through the Air Force Office of Scientific Research of
the Air Research and Development Command under Contract No. AF 49 (638)-228, at the University of Maryland, and in part by
the National Science Foundation, under a fellowship grant. 相似文献
4.
Alexander Weinstein 《Annali di Matematica Pura ed Applicata》1962,60(1):87-91
Summary Extension of theorems ofF. Riesz on subharmonic functions to spaces of constant curvature by the use of hyperbolic partial differential equations.
To Enrico Bompiani on his scientific Jubiles
This research was supported in part by the United States Air Force through the Air Force Office of Scientific Research of
the Air Research and Development Command under ontract No. AF 49 (638)–228. 相似文献
5.
D. V. Widder 《Annali di Matematica Pura ed Applicata》1961,55(1):389-409
Summary This paper is an extensions of a recent result byD. V. Widder andP. C. Rosenbloom concerning the expansion of a solution u(x, t) of the heat equation, ux
x=ut, in series of polyonomial solutions. Whereas that result involved two variables only, the present one permits an arbitrary
finite number of variables. It is found that the polynomial solutions of the heat equation in n dimensions are factorable
into polynomials in two variables. The expansion problem may be considered as an investigation of the space spanned by linear
combinations of these factorable solutions
To Enrico Bompiani on his scientific Jubilee
This research was supported (in part) by the U. S. Air Force, through the Air Force Office of Scientific Research, Air Research
and Development Command, under Contract AF 49(638)-574. Reproduction in whole or in part is permitted for any purpose of the
United States Government. 相似文献
6.
Summary A bilinear divergence identity is obtained, which differs from the usualLagrange divergence identity employed byRiemann. In the case of two independent variables, this new identity is used to unify the treatment ofCauchy's problem for hyperbolic equations, the initial value problem for parabolic equations, and theDirichlet problem for elliptic equations.
This research was supported in whole or in part by the United States Air Force under Contract No. AF18(600)-573 monitored by the Office of Scientific Research, Air Research and Development Command. 相似文献
7.
Ohne ZusammenfassungThis research was supported in part (as far as the work ofW. Jurkat is concerned) by the United States Air Force, through the Office of Scientific Research of the Air Research and Development Command. 相似文献
8.
Summary The explicit solution of a particularCauchy problem for the n-dimensionalEuler-Poisson-Darboux equation is found. To obtain the solution the method ofM. Riesz is extended to include non self-adjoint equations. Existence and uniqueness are shown.
This research was supported in part by the United States Air Force under Contract No. AF18(600)-573 — monitored by the Office
of Scientific Research, Air Research and Development Command. 相似文献
9.
Gordon Frank Newell 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1959,10(2):160-174
A disk oscillating between two fixed plates is considered as an instrument for absolute measurements of viscosity. The existing theories relating the viscosity to the decrement of oscillation are improved by calculating the effects of the edge. This is done by assuming that the separation between the plates is small compared with both the radius of the disk and the boundary layer thickness. A comparison is made with the experimental data ofKestin andPilarczyk for which the present theory is estimated to be correct to 0·1%.
This research was supported by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command, under contract No. AF 18 (600) 1548. Reproduction in whole or in part is permitted for any purpose of the United States Govermnent. Part of the work was done while the author was being supported by a grant from the Alfred P. Sloan Foundation. 相似文献
Zusammenfassung Es wird untersucht, ob eine zwischen zwei feststehenden Platten schwingende Scheibe als Gerät für die Absolutmessung der Zähigkeit von Flüssigkeiten benutzt werden kann. Die dafür bestehenden Theorien, bei denen die Viskosität aus dem logarithmischen Dekrement der Schwingung berechnet wird, sind hier durch die Berücksichtigung der Randeffekte erweitert worden, unter der Voraussetzung, dass der Abstand zwischen den beiden feststehenden Platten klein ist im Verhältnis zum Radius der Scheibe und zur Grenzschichtdicke. Die Theorie stimmt mit den vonKestin undPilarczyk experimentell gefundenen Werten auf 0,1% genau überein.
This research was supported by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command, under contract No. AF 18 (600) 1548. Reproduction in whole or in part is permitted for any purpose of the United States Govermnent. Part of the work was done while the author was being supported by a grant from the Alfred P. Sloan Foundation. 相似文献
10.
Konrad Knopp 《Mathematische Zeitschrift》1955,63(1):39-52
Ohne ZusammenfassungDem Andenken anIssai Schur gewidmet.This research was supported by the United States Air Force through the Office of Scientific Research, of the Air Research and Development Command, under Contract Number AF 18 (600)–691. 相似文献
11.
A structure theorem for Banach spaces whose duals areL
1 spaces, is proved.
The research of the second named author has been sponsored by the Air Force Office of Scientific Research under Grant AF EOAR
66-18 through the European Office of Aerospace Research (OAR) United States Air Force. 相似文献
12.
Summary Reflection principles, analogous to the classicalSchwarz reflection principle for harmonic functions, are obtained for solutions of linear elliptic second order partial differential
equations with constant coefficients. The boundary conditions employed are supposed to be satisfied in a limiting sense only,
and do not require (a priori) the existence of derivatives on the boundary.
To Mauro Picone on his 70th birth day.
This research was supported in part by the United States Air Force under Contract No. AF(600)-573 — monitored by the Office of Scientific Research, Air Research and Development Command.
The work of this author was sponsored by the Office of Ordnance Research, U.S. Army, under the Contract DA-36-034-ORD-1486. 相似文献
13.
Joram Lindenstrauss 《Israel Journal of Mathematics》1966,4(1):59-61
It is proved that every bounded closed and convex subset ofl
1 is the closed convex hull of its extreme points.
The research reported in this document has been sponsored by the Air Force Office of Scientific Research under Grant AF EOAR
66-18 through the European Office of Aerospace Research (OAR) United States Air Force. 相似文献
14.
Albrecht Dold 《Archiv der Mathematik》1958,9(4):275-286
Ohne ZusammenfassungDiese Arbeit wurde zum Teil durch Unterstützung durch die United States Air Force ermöglicht (Contract No. AF 18(600)-1383 vom AF Office of Scientific Research, Air Research and Development Command).Herrn Professor Dr.Hellmuth Kneser zum 60. Geburtstag gewidmet 相似文献
15.
F. J. Bureau 《Annali di Matematica Pura ed Applicata》1961,55(1):323-388
Summary The method of singularities is used to solve theCauchy problem for simple hyperbolic partial differential equations, namely, the wave equation and the damped wave equation. The
representation formula for the solution of theCauchy problem is written in terms of finite parts and logarithmic parts of certain divergent integrals.
A process of analytic continuation is also used to solve theCauchy problems under consideration. However, to obtain explicitly the representation formulas for the solutions, one must actually
perform the analytic continuation. It is shown that this is best achieved by making use of finite and logarithmic parts.
Simple examples were purposely chosen so as to show that consideration of finite and logarithmic parts is naturally unavoidable
and ? in the very nature of things ?.
To Enrico Bompiani on his scientific Jubilee.
This work was sponsored in part by the Air Force Office of Scientific Research of the Air Research and Development Command,
United States Air Force, through its European Office. 相似文献
16.
Sans résumé
This research was partly supported by the United States Air Force through the Air Force Office of Scientific Research of the
Air Research and Development Command under contract No. AF 18 (600)-1109. Reproduction in whole or in part is permitted for
any purpose of the United States Government. 相似文献
17.
M. Slemrod 《Applied Mathematics and Optimization》1984,11(1):57-76
This paper studies controllability of the abstract hyperbolic control systemü + Au + p(t)Bu = 0 whereA andB are (possibly) unbounded linear operators on an infinite dimensional Hilbert spaceH andp(t) is a real valued scalar control. The paper gives conditions for elements of the underlying state space to be accessible from prescribed initial data (u(0),57-1 Applications to wave equations are provided.This research was supported in part by the Air Force office of Scientific Research, Air Force Systems Command, USAF, under Contract/Grant No. AFORS-81-0172. The United States Government if authorized to reproduce and distribute reprints for government purposes not withstanding any copyright herein. 相似文献
18.
Summary We consider a vibrating string fixed at the ends for which the position is known at two different times. This corrisponds
to a classical not well posed problem, theDirichlet problem for the wave equation, which we reconsider here in order to determine under what conditions it is possible to obtain
useful information about the physical phenomenon. This problem is related to a functional equation from which the principal
results can be deduced.
This research was supported in part by the United States Air Force under contract No. AF 49 (638) 228 monitored by the Office of Scientific Research, Air Research and Development Command. 相似文献
Sunto Si riesamina un classico esempio di problema ? non ben posto ?, il problema diDirichlet corrispondente al modello fisico di una corda vibrante, fissa agli estremi e assumente posizioni note in due diversi istanti. Lo studio relativo all'esistenza ed unicità della soluzione è ricondotto a quello di una equazione funzionale ed è strettamente connesso a questioni di teoria dei numeri. Si esamina poi la dipendenza della soluzione dai dati e si discute il problema dal punto di vista delle sue applicazioni.
This research was supported in part by the United States Air Force under contract No. AF 49 (638) 228 monitored by the Office of Scientific Research, Air Research and Development Command. 相似文献
19.
Jacob Steinberg 《Annali di Matematica Pura ed Applicata》1962,59(1):285-318
Summary The (A)-summability and mean-convergence of Fourier series in terms of certain biorthonormal systems have been investigated.
The problem of completing a set of polynomials to a biothonormal system has been solved in the case of certain sets of type
zero (Sheffer’s classification).
The research reported in this document has been sponsored in part by the Air Force Office of Scientific Research of the Air
Research and Development Command, United States air Force, through its European Office, under Contract N0 AF 61 (052)-324. 相似文献
20.
Hans J. Bremermann 《Mathematische Annalen》1958,136(2):173-186
Ohne ZusammenfassungMeinem verehrten LehrerHeinrich Behnke zum 60. Geburtstag gewidmetDiese Arbeit ist zum Teil vom Office of Scientific Research der United States Air Force unterstützt worden und zum Teil vom Office of Naval Research. Das Hauptresultat der Arbeit hat Verf. angekündigt in: Nachr. Österr. Math. Ges.47/48, 58–59 (1957). 相似文献