Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

按检索

Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity

Authors:

S N Antontsev S I Shmarev

Institution:

1.Universidade da Beira Interior,Covilh?,Portugal;2.Universidad de Oviedo,OviedoEspa?ajuvy,USA

Abstract:

We prove the existence and uniqueness of weak solutions of the Dirichlet problem for the nonlinear degenerate parabolic equation

$u_t = div(a\left| u \right|^{\gamma (x,t)} \nabla u) + b\left| u \right|^{\gamma (x,t)/2} \nabla u - c\left| u \right|^{\sigma (x,t) - 2} u + d,$

where a, b, c, and d are given functions of the arguments x, t, and u(x, t), and the exponents of nonlinearity γ(x, t) and σ(x, t) are known measurable and bounded functions of their arguments. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 4, pp. 3–19, 2006.

Keywords:

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏