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121.
The solutions of the dfferential equation Lnx + a0(t)x = 0, where Ln is a disconjugate operator and a0 is of one sign, are studied according to their behavior as t → ∞. We prove equivalence theorems between solutions of this equation and its adjoint in terms of property A and property B. These theorems generalize the results known for n = 3 and for odd order binomial equations. Some applications are given too. 相似文献
122.
A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media
We present a novel computational methodology for solving the scalar nonlinear Helmholtz equation (NLH) that governs the propagation of laser light in Kerr dielectrics. 相似文献
123.
G. S. Khadekar Rupali Wanjari Cenap Ozel 《International Journal of Theoretical Physics》2009,48(9):2550-2557
In this study we have analyzed the Kaluza-Klein type Robertson Walker (RW) cosmological model by considering variable cosmological
constant term Λ of the form:
,
and Λ∼ρ in the presence of strange quark matter with domain wall. The various physical aspects of the model are also discussed. 相似文献
124.
Luigi Ambrosio Estibalitz Durand-Cartagena 《Rendiconti del Circolo Matematico di Palermo》2009,58(1):1-10
This note is devoted to the differentiability properties of -Lipschitz maps defined on abstract Wiener spaces and with values in metric spaces (Y,d
Y
). We prove the existence γ-a.e. of local seminorms in the Cameron-Martin space which allow to compute the metric derivative of the map.
Second Author partially supported by DGES (Spain) MTM2006-03531. 相似文献
125.
Verena Bögelein 《Annali di Matematica Pura ed Applicata》2009,188(1):61-122
In the present paper we provide a broad survey of the regularity theory for non-differentiable higher order parabolic systems
of the type
Initially, we prove a partial regularity result with the method of A-polycaloric approximation, which is a parabolic analogue of the harmonic approximation lemma of De Giorgi. Moreover, we prove
better estimates for the maximal parabolic Hausdorff-dimension of the singular set of weak solutions, using fractional parabolic
Sobolev spaces. Thereby, we also consider different situations, which yield a better dimension reduction result, including
the low dimensional case and coefficients A(z, D
m
u), independent of the lower order derivatives of u.
相似文献
126.
Besides other things we prove that if , , locally minimizes the energy
, with N-functions a ≤ b having the Δ2-property, then . Moreover, the condition
for all large values of t implies . If n = 2, then these results can be improved up to for all s < ∞ without the hypothesis . If n ≥ 3 together with M = 1, then higher integrability for any exponent holds under more restrictive assumptions than .
相似文献
127.
This paper first presents a characterization of three classes of negligible closed convex sets (i.e., Gauss null sets, Aronszajn null sets and cube null sets) in terms of non-support points; then gives a generalization of Gâteaux differentiability theorems of Lipschitz mapping from open sets to those closed convex sets admitting non-support points; and as their application, finally shows that a closed convex set in a separable Banach space X can be Lipschitz embedded into a Banach space Y with the Radon–Nikodym property if and only if the closure of its linear span is linearly isomorphic to a closed subspace of Y. 相似文献
128.
We consider a damped sine-Gordon equation with a variable diffusion coefficient. The goal is to derive necessary conditions for the optimal set of parameters minimizing the objective function J. First, we show that the solution map is continuous under a weak assumption on the topology of the admissible set P. Then the solution map is shown to be weakly Gâteux differentiable on P, implying the Gâteux differentiability of the objective function. Finally we show the Fréchet differentiability of J. The optimal set of parameters is shown to satisfy a bang–bang control law. 相似文献
129.
Takao Yamazaki 《Mathematische Zeitschrift》2009,261(1):109-121
We prove that the kernel of the reciprocity map for a product of curves over a p-adic field with split semi-stable reduction is divisible. We also consider the K
1 of a product of curves over a number field.
相似文献
130.
Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme
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R. Sivakumar S. Vimala S. Damodaran & T. V. S. Sekhar 《advances in applied mathematics and mechanics.》2016,8(3):449-463
The control of convective heat transfer from a heated circular cylinder immersed
in an electrically conducting fluid is achieved using an externally imposed
magnetic field. A Higher Order Compact Scheme (HOCS) is used to solve the governing
energy equation in cylindrical polar coordinates. The HOCS gives fourth order
accurate results for the temperature field. The behavior of local Nusselt number, mean
Nusselt number and temperature field due to variation in the aligned magnetic field is
evaluated for the parameters 5≤$Re$≤40, 0≤$N$≤20 and 0.065≤$Pr$≤7. It is found that
the convective heat transfer is suppressed by increasing the strength of the imposed
magnetic field until a critical value of $N$, the interaction parameter, beyond which the
heat transfer increases with further increase in $N$. The results are found to be in good
agreement with recent experimental studies. 相似文献