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In this paper, we investigate the quenching phenomena of the Cauchy problem for the second-order nonlinear parabolic equation on unbounded domain. It is shown that the solution quenches in finite time...
Abstract: This paper studies unique continuation for weakly degenerate parabolic equations in one space dimension. A new Carleman estimate of local type is obtained to deduce that all solutions that v...
In this paper, we address the solution of a semilinear heat equation with variable reaction subject to Dirichlet boundary conditions and nonnegative initial datum. Under some assumptions, we show that...
In this paper, we study the boundary value problem of the classical semilinear parabolic equations ut − u = |u|p−1u.
Let (M,g) be a complete noncompact Riemannian manifold. In this note, we derive a local gradient estimate for positive solution to a simple nonlinear parabolic equation
Explosive instabilities in two uniform spatially discrete schemes for a semilinear parabolic equation in one space dimension are studied by intensive numerical simulations. We shows for both schemes t...
Nonlocal Lotka-Volterra models have the property that solutions concentrate as Dirac masses in the limit of small diffusion. Is it possible to describe the dynamics of the limiting concentration point...
In this paper we prove the existence and uniqueness of entropy solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Moreover, we establish a comparison result. Some ...
We consider an initial-boundary problem for a fourth order nonlinear parabolic equation. The problem as a model arises in epitaxial growth of nanoscale thin films. Relying on some necessary uniform ...
This paper concerns the study of the numerical approximation for the following initial-boundary value problem: (P) where , and . We show that the solution of a semidiscrete form of (P) goes to ...
In this paper, we establish the local existence and uniqueness of the solution for the degenerate parabolic equation with a nonlocal source and homogeneous Dirichlet boundary condition. Moreover, we p...
In this paper we prove the solution of explicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the relevant nonlinear stationary problem as ...
In this paper we prove that the solution of implicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the corresponding nonlinear stationary...
专著信息 书名 Doubly nonlinear parabolic equation with nonlinear boundary conditions 语种 英文 撰写或编译 作者 王术,邓聚成,石金娥 第一作者单位 出版社 J. Math. Anal. Appl., 255(2001), 109-121 出版地 出版日期 2001年 月 日 标准书号 介质类型 页数 字数 开本 相关项目 ...
期刊信息 篇名 Instability in a geometric parabolic equation on convex domain 语种 英文 撰写或编译 作者 S. Jimbo,翟健 第一作者单位 刊物名称 J. Differential Equations 页面 188,447-460 ,2003年3月 出版日期 2003年 3月 日 文章标识(ISSN) 相关项目 几何与物理中非线...

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