共查询到20条相似文献,搜索用时 0 毫秒
1.
LiJunjie BianBaojun 《高校应用数学学报(英文版)》2000,15(3):273-280
The following regularity of weak solutions of a class of elliptic equations of the form are investigated. 相似文献
2.
The authors localize the blow-up points of positive solutions of the systemu
t
=Δu,v
t
=Δv with conditions
at the boundary of a bounded smooth domain Θ under some restrictions off andg and the initial data (Δu
0, Δν0>c>0).
If Θ is a ball, the hypothesis on the initial data can be removed.
Supported by Universidad de Buenos Aires under grant EX071 and CONICET. 相似文献
3.
Lu Guofu 《高校应用数学学报(英文版)》1999,14(1):30-44
§1IntroductionInthepaper,weconsidertheinitialandboundaryvalueproblemasfolows:ut=Δ(gradφ(u))+αΔb(u)+f(x,t,u),(x,t)∈QT=Ω×(0,T](... 相似文献
4.
Sadek Gala 《Archiv der Mathematik》2007,88(5):448-454
In this note, we will give another proof of the uniqueness of mild solutions to the Navier-Stokes equations in the class C([0,∞);
by a simple application of Giga-Shor’s L
p
− L
q
(time-space) estimates, i.e., integral norms in the time variable. The proof relies on a method introduced by S. Monniaux
[9] to prove the same result.
Received: 11 June 2006 相似文献
5.
Achiya Dax 《BIT Numerical Mathematics》1993,33(2):262-276
This paper presents a row relaxation method for solving the doubly regularized minimax problem
相似文献
6.
In this paper, a new criterion of the non-existence of periodic solutions for a generalized liénard system
7.
The asymptotic behavior of viscosity solutions to the Cauchy–Dirichlet problem for the degenerate parabolic equation u
t
= Δ∞
u in Ω × (0,∞), where Δ∞ stands for the so-called infinity-Laplacian, is studied in three cases: (i) and the initial data has a compact support; (ii) Ω is bounded and the boundary condition is zero; (iii) Ω is bounded and the boundary condition is non-zero. Our method of proof is based on the comparison principle and barrier function
arguments. Explicit representations of separable type and self-similar type of solutions are also established. Moreover, in
case (iii), we propose another type of barrier function deeply related to a solution of .
Goro Akagi was supported by the Shibaura Institute of Technology grant for Project Research (no. 2006-211459, 2007-211455),
and the grant-in-aid for young scientists (B) (no. 19740073), Ministry of Education, Culture, Sports, Science and Technology.
Petri Juutinen was supported by the Academy of Finland project 108374. Ryuji Kajikiya was supported by the grant-in-aid for
scientific research (C) (no. 16540179), Ministry of Education, Culture, Sports, Science and Technology. 相似文献
8.
We consider here a class of nonlinear Dirichlet problems, in a bounded domain , of the form
9.
José Miguel Urbano 《Annali di Matematica Pura ed Applicata》2000,178(1):195-224
We prove existence of continuous solutions for
10.
In this article we analyze viscosity solutions of the one phase Hele-Shaw problem in the plane and the corresponding free
boundaries near a singularity. We find, up to order of magnitude, the speed at which the free boundary moves starting from
a wedge, cusp, or finger-type singularity. Maximum principle-type arguments play a key role in the analysis. 相似文献
11.
Travelling front solution for a class of competition-diffusion system with high-order singular point
In this paper, the existence of travelling front solution for a class of competition-diffusion system with high-order singular
point
12.
We are interested in parabolic problems with L1 data of the type
13.
Jan Jankowski 《Rendiconti del Circolo Matematico di Palermo》2006,55(1):95-102
We show the existence of absolutely continuous extremal solutions to the problemx′(t)=f(t, x)h(t)))+g(t)),x(0)=x
0, whereh is an arbitrary continuous deviated argument. Conditions for the uniqueness of solutions are given.
Research partialy supported by grant UG BW 5100 - 5 - 0143 - 4 相似文献
14.
Masao Tsugaki 《Combinatorica》2009,29(1):127-129
A tree T is called a k-tree, if the maximum degree of T is at most k. In this paper, we prove that if G is an n-connected graph with independence number at most n + m + 1 (n≥1,n≥m≥0), then G has a spanning 3-tree T with at most m vertices of degree 3. 相似文献
15.
Giovanna Cerami Mónica Clapp 《Calculus of Variations and Partial Differential Equations》2007,30(3):353-367
We prove the existence of a sign changing solution to the semilinear elliptic problem , in an exterior domain Ω having finite symmetries. 相似文献
16.
TAOYOUSHAN GAOGUOZHU 《高校应用数学学报(英文版)》1998,13(3):271-280
In this paper the forced neutral difterential equation with positive and negative coefficients d/dt [x(t)-R(t)x(t-r)] P(t)x(t-x)-Q(t)x(t-σ)=f(t),t≥t0,is considered,where f∈L^1(t0,∞)交集C([t0,∞],R^ )and r,x,σ∈(0,∞),The sufficient conditions to oscillate for all solutions of this equation are studied. 相似文献
17.
We consider the 2-D Keller-Segel system (KS) for γ > 0. We first construct a mild solution of (KS) for every . The local existence time is characterized for with 1 < q
* < 2. Next, we prove the finite time blow-up of strong solution under the assumption and , where g(s) is an increasing function of s > 1 with an explicit representation. As an application of our mild solutions, an exact blow-up rate near the maximal existence
time is obtained.
相似文献
18.
N. M. Ivochkina 《Journal of Fixed Point Theory and Applications》2008,4(1):47-56
We adapt to degenerate m-Hessian evolution equations the notion of m-approximate solutions introduced by N. Trudinger for m-Hessian elliptic equations, and we present close to necessary and sufficient conditions guaranteeing the existence and uniqueness
of such solutions for the first initial boundary value problem.
Dedicated to Professor Felix Browder 相似文献
19.
This paper studies algorithms for the solution of mixed symmetric linear complementarity problems. The goal is to compute
fast and approximate solutions of medium to large sized problems, such as those arising in computer game simulations and American
options pricing. The paper proposes an improvement of a method described by Kocvara and Zowe (Numer Math 68:95–106, 1994) that combines projected Gauss–Seidel iterations with subspace minimization steps. The proposed algorithm employs
a recursive subspace minimization designed to handle severely ill-conditioned problems. Numerical tests indicate that the
approach is more efficient than interior-point and gradient projection methods on some physical simulation problems that arise
in computer game scenarios.
The research of J. L. Morales was supported by Asociación Mexicana de Cultura AC and CONACyT-NSF grant J110.388/2006.
The research of J. Nocedal was supported by National Science Foundation grant CCF-0514772, Department of Energy grant DE-FG02-87ER25047-A004
and a grant from the Intel Corporation. 相似文献
20.
In this paper we study a nonlinear elliptic differential equation driven by thep-Laplacian with a multivalued boundary condition of the Neumann type. Using techniques from the theory of maximal monotone
operators and a theorem of the range of the sum of monotone operators, we prove the existence of a (strong) solution. 相似文献
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