Parabolic equations with Robin type boundary conditions in a non-rectangular domain

In this article, we study the parabolic equation $partial_{t}u-c^2(t)partial_x^2u=f$ in the non-necessarily rectangular domain $$ Omega ={ (t,x)inmathbb{R}^2:0<t<T,, varphi_1(t)<x<varphi_2(t)}. $$ The boundary conditions are of Robin type, while the right-hand sid...

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Bibliographic Details
Main Authors: Arezki Kheloufi, Boubaker-Khaled Sadallah
Format: Article
Language:English
Published: Texas State University 2010-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/25/abstr.html