共查询到20条相似文献,搜索用时 533 毫秒
1.
We study the convergence and decay rate to equilibrium of bounded solutions of the quasilinear parabolic equation
ut−diva(x,∇u)+f(x,u)=0 相似文献
2.
In this paper we study the boundary behavior of solutions to equations of the form
∇⋅A(x,∇u)+B(x,∇u)=0, 相似文献
3.
Let Ω be a bounded domain in R2, u+=u if u?0, u+=0 if u<0, u−=u+−u. In this paper we study the existence of solutions to the following problem arising in the study of a simple model of a confined plasma
4.
For the parabolic obstacle-problem-like equation
Δu−t∂u=λ+χ{u>0}−λ−χ{u<0}, 相似文献
5.
In this paper, one-dimensional (1D) nonlinear Schrödinger equation
iut−uxx+mu+4|u|u=0 相似文献
6.
Bo Liang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(11):3815-3828
The paper first study the steady-state thin film type equation
∇⋅(un|∇Δu|q−2∇Δu)−δumΔu=f(x,u) 相似文献
7.
Amin Esfahani 《Journal of Differential Equations》2009,247(12):3181-323
In this paper we study the generalized BO-ZK equation in two space dimensions
ut+upux+αHuxx+εuxyy=0. 相似文献
8.
R.F. Barostichi 《Journal of Differential Equations》2009,247(6):1899-260
Let (x,t)∈Rm×R and u∈C2(Rm×R). We study the Gevrey micro-regularity of solutions u of the nonlinear equation
ut=f(x,t,u,ux), 相似文献
9.
Matteo Franca 《Journal of Differential Equations》2010,248(11):2629-2656
We consider the following equation
Δpu(x)+f(u,|x|)=0, 相似文献
10.
Linghai Zhang 《Journal of Differential Equations》2008,245(11):3470-3502
Let u=u(x,t,u0) represent the global strong/weak solutions of the Cauchy problems for the general n-dimensional incompressible Navier-Stokes equations
11.
Terence Tao 《Journal of Differential Equations》2007,232(2):623-651
We show that the quartic generalised KdV equation
ut+uxxx+(u4x)=0 相似文献
12.
Julián López-Gómez 《Journal of Differential Equations》2006,224(2):385-439
In this paper, we prove some optimal uniqueness results for large solutions of a canonical class of semilinear equations under minimal regularity conditions on the weight function in front of the non-linearity and combine these results with the localization method introduced in [López-Gómez, The boundary blow-up rate of large solutions, J. Differential Equations 195 (2003) 25-45] to prove that any large solution L of Δu=a(x)up, p>1, a>0, must satisfy
13.
Zui-Cha Deng Liu Yang Guan-Wei Luo 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(12):6212-6221
This paper deals with the determination of a pair (p,u) in the nonlinear parabolic equation
ut−uxx+p(x)f(u)=0, 相似文献
14.
Norbert Ortner 《Bulletin des Sciences Mathématiques》2003,127(10):835-843
L. Hörmander's extension of Ásgeirsson's mean value theorem states that if u is a solution of the inhomogeneous ultrahyperbolic equation (Δx−Δy)u=f, , , then
15.
Ki-ahm Lee 《Advances in Mathematics》2008,219(6):2006-2028
We consider the asymptotic profiles of the nonlinear parabolic flows ut=Δum to show the geometric properties of the following elliptic nonlinear eigenvalue problems:
16.
Nguyen Huy Tuan Dang Duc Trong 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(7):1966-1972
The nonlinear backward Cauchy problem
ut+Au(t)=f(u(t)),u(T)=φ, 相似文献
17.
Ross G. Pinsky 《Journal of Differential Equations》2006,220(2):407-433
Consider classical solutions u∈C2(Rn×(0,∞))∩C(Rn×[0,∞)) to the parabolic reaction diffusion equation
18.
Steven D. Taliaferro 《Journal of Differential Equations》2011,250(2):892-928
We study classical nonnegative solutions u(x,t) of the semilinear parabolic inequalities
19.
Ali Bentrad 《Journal of Differential Equations》2011,250(9):3652-3667
We give an explicit representation of the solutions of the Cauchy problem, in terms of series of hypergeometric functions, for the following class of partial differential equations with double characteristic at the origin:
(xkt∂+ax∂)(xkt∂+bx∂)u+cxk−1t∂u=0, 相似文献
20.
Under suitable assumptions on the potentials V and a, we prove that if u∈C([0,1],H1) is a solution of the linear Schrödinger equation