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1.
Bardos Claude Gwiazda Piotr Świerczewska-Gwiazda Agnieszka Titi Edriss S. Wiedemann Emil 《Journal of Nonlinear Science》2019,29(2):501-510
Journal of Nonlinear Science - The aim of this work is to extend and prove the Onsager conjecture for a class of conservation laws that possess generalized entropy. One of the main findings of this... 相似文献
2.
The continuous dependence of bounded Φ-variation solutions on parameters for Kurzweil equations are established by using the functions of bounded Φ-variation that were introduced by Musielak-Orlice. These results are essential generalizations of continuous dependence of bounded variation solutions on parameters for Kurzweil equations. 相似文献
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4.
Kh. A. Khachatryan Ts. E. Terjyan M. H. Avetisyan 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2018,53(4):201-211
A system of nonlinear integral equations with a convolution type operator arising in the p–adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solutions at ±∞ are calculated. 相似文献
5.
Jackson's Theorem on Bounded Symmetric Domains 总被引:1,自引:0,他引:1
Ming Zhi WANG Guang Bin REN 《数学学报(英文版)》2007,23(8):1391-1404
Polynomial approximation is studied on bounded symmetric domain Ω in C^n for holomorphic function spaces X such as Bloch-type spaces, Bergman-type spaces, Hardy spaces, Ω algebra and Lipschitz space. We extend the classical Jackson's theorem to several complex variables:Eκ(f,X)≤ω(1/k,f,X), where Eκ(f,X) is the deviation of the best approximation of f ∈X by polynomials of degree at most k with respect to the X-metric and ω(1/k,f,X) is the corresponding modulus of continuity. 相似文献
6.
OntheSuitableWeakSolutionstotheBoussinesqEquationsinaBoundedDomainGuoBoling(郭柏灵)YuanGuangwei(袁光伟)(InstituteofAppliedPhysicsan... 相似文献
7.
Let be a union-closed family of subsets of an m-element set A. Let . For b ∈ A let w(b) denote the number of sets in containing b minus the number of sets in not containing b. Frankl’s conjecture from 1979, also known as the union-closed sets conjecture, states that there exists an element b ∈ A with w(b) ≥ 0. The present paper deals with the average of the w(b), computed over all b ∈ A. is said to satisfy the averaged Frankl’s property if this average is non-negative. Although this much stronger property does not hold for all union-closed families, the first
author (Czédli, J Comb Theory, Ser A, 2008) verified the averaged Frankl’s property whenever n ≥ 2
m
− 2
m/2 and m ≥ 3. The main result of this paper shows that (1) we cannot replace 2
m/2 with the upper integer part of 2
m
/3, and (2) if Frankl’s conjecture is true (at least for m-element base sets) and then the averaged Frankl’s property holds (i.e., 2
m/2 can be replaced with the lower integer part of 2
m
/3). The proof combines elementary facts from combinatorics and lattice theory. The paper is self-contained, and the reader
is assumed to be familiar neither with lattices nor with combinatorics.
This research was partially supported by the NFSR of Hungary (OTKA), grant no. T 049433, T 48809 and K 60148. 相似文献
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The interior Dirichlet problem for Laplace's equation on a plane polygonal region $\Omega$ with boundary $\Gamma$ may be reformulated as a second kind integral equation on $\Gamma$. This equation may be solved by the Nyström method using the composite trapezoidal rule. It is known that if the mesh has $O(n)$ points and is graded appropriately, then $O(1/n^2)$ convergence is obtained for the solution of the integral equation and the associated solution to the Dirichlet problem at any $x\in \Omega$. We present a simple extrapolation scheme which increases these rates of convergence to $O(1/n^4)$ . 相似文献
10.
We establish a new 3G-Theorem for the Green’s function for the half space
We exploit this result to introduce a new class of potentials
that we characterize by means of the Gauss semigroup on
. Next, we define a subclass
of
and we study it. In particular, we prove that
properly contains the classical Kato class
. Finally, we study the existence of positive continuous solutions in
of the following nonlinear elliptic problem
where h is a Borel measurable function in
satisfying some appropriate conditions related to the class
.
Mathematics Subject Classification (1991): Primary: 34B27, 34B16, 34J65; Secondary: 35B50, 31B05 相似文献
11.
1 Introduction and Main Results Systems of two-dimensional (2D) hyperbolic conservation laws are more accurate modeling of many sophisticated physical phenomena. Although people have made great progress in one dimensional conservation laws. 相似文献
12.
In this article we study the principle of energy conservation for the Euler–Korteweg system. We formulate an Onsager-type sufficient regularity condition for weak solutions of the Euler–Korteweg system to conserve the total energy. The result applies to the system of Quantum Hydrodynamics. 相似文献
13.
Antonio VITOLO 《数学学报(英文版)》2007,23(11):1955-1966
We make a further advance concerning the maximum principle for second-order elliptic operators. We investigate in particular a geometric condition, first considered by Berestycki Nirenberg Varadhan, that seems to be natural in view of the application of the boundary weak Harnack inequality, on which our argument is based. Setting it free from some technical assumptions, apparently needed in earlier papers, we significantly enlarge the class of unbounded domains where the maximum principle holds, compatibly with the first-order term. 相似文献
14.
Invariant solutions of partial differential equations are found by solving a reduced system involving one independent variable
less. When the solutions are invariant with respect to the so-called projective group, the reduced system is simply the steady
version of the original system. This feature enables us to generate unsteady solutions when steady solutions are known. The
knowledge of an optimal system of subalgebras of the principal Lie algebra admitted by a system of differential equations
provides a method of classifying H-invariant solutions as well as constructing systematically some transformations (essentially different transformations) mapping the given system to a suitable form. Here the transformations allowing to reduce the steady two-dimensional Euler
equations of gas dynamics to an equivalent autonomous form are classified by means of the program SymboLie, after that an optimal system of two-dimensional subalgebras of the principal Lie algebra has been calculated. Some steady solutions of two-dimensional Euler
equations are determined, and used to build unsteady solutions. 相似文献
15.
Synopsis As a remark on [1], it is pointed out that C~2 solutions of u_(tt)-sum from to n=1 to 3(u_(x_4x_4))=u_t~2 with compact supported initial data must vanish everywhere in R_+~4. A remark on Fritz John's paper [1] is given in this paper. In[2],a remarkable result is obtained that the Cauchy problem for nonlinear wave euation with small initial data always has global solution if the space dimension≥6.For the on-dimensional wave equation,the situation is just the 相似文献
16.
Zhao Yang YIN 《数学学报(英文版)》2006,22(3):819-826
Sufficient conditions for the existence of positive solutions to a class of quasilinear elliptic equations in two-dimensional exterior domains are given. 相似文献
17.
Eduardo A. Notte-Cuello Waldyr A. Rodrigues Jr. 《Advances in Applied Clifford Algebras》2009,19(1):113-145
We reveal in a rigorous mathematical way using the theory of differential forms, here viewed as sections of a Clifford bundle
over a Lorentzian manifold, the true meaning of Freud’s identity of differential geometry discovered in 1939 (as a generalization
of results already obtained by Einstein in 1916) and rediscovered in disguised forms by several people. We show moreover that
contrary to some claims in the literature there is not a single (mathematical) inconsistency between Freud’s identity (which
is a decomposition of the Einstein indexed 3-forms in two gauge dependent objects) and the field equations of General Relativity. However, as we show there is an obvious inconsistency in the way
that Freud’s identity is usually applied in the formulation of energy-momentum “conservation laws” in GR. In order for this
paper to be useful for a large class of readers (even those ones making a first contact with the theory of differential forms)
all calculations are done with all details (disclosing some of the “tricks of the trade” of the subject).
相似文献
18.
Gregory A. CHECHKIN Rustem R. GADYL'SHIN 《数学学报(英文版)》2007,23(2):237-248
We consider boundary-value problems with rapidly alternating types of boundary conditions. We present the classification of homogenized (limit) problems depending on the ratio of small parameters, which characterize the diameter of parts of the boundary with different types of boundary conditions. Also we study the respective spectral problem of this type. 相似文献
19.
In this present paper, we investigate the Cauchy problem for 3D incom- pressible Boussinesq equations and establish the Beale-Kato-Majda regularity criterion of smooth solutions in terms of the velocity field in the homogeneous BMO space. 相似文献
20.
Mohammad Zarrin 《Archiv der Mathematik》2018,111(4):349-351
In 1979, Herzog put forward the following conjecture: if two simple groups have the same number of involutions, then they are of the same order. We give a counterexample to this conjecture. 相似文献