首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boundary condition
Authors:Sa?¨d Benachour  Simona Dabuleanu
Institution:Institut Elie Cartan UMR 7502 UHP-CNRS-INRIA, BP 239 F-54506 Vandoeuvre-lès-Nancy, France
Abstract:We prove the existence and the uniqueness of strong solutions for the viscous Hamilton-Jacobi equation: View the MathML source with Neumann boundary condition, and initial data μ0, a continuous function. The domain Ω is a bounded and convex open set with smooth boundary, aR,a≠0 and p>0. Then, we study the large time behavior of the solution and we show that for p∈(0,1), the extinction in finite time of the gradient of the solution occurs, while for p?1 the solution converges uniformly to a constant, as t→∞.
Keywords:35K55  35K60  35B33  35B35  35B65
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号