%0 Journal Article
%T The Existence and Behavior of Solutions for Nonlocal Boundary Problems
%A Wang Yuandi
%A Zheng Shengzhou
%J Boundary Value Problems
%D 2009
%I Springer
%X The purpose of this work is to investigate the uniqueness and existence of local solutions for the boundary value problem of a quasilinear parabolic equation. The result is obtained via the abstract theory of maximal regularity. Applications are given to some model problems in nonstationary radiative heat transfer and reaction-diffusion equation with nonlocal boundary flux conditions.
%U http://www.boundaryvalueproblems.com/content/2009/484879