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Boundary-Value Problems of a Degenerate Sobolev-Type Differential Equation
Published online by Cambridge University Press: 20 November 2018
Abstract
The purpose of this paper is to study a degenerate Sobolev type partial differential equation in the form of Mut + Lu = f, where M and L are second order partial differential operators defined in a domain (0, T]×Ω in Rn+1. The degenerate property of the equation is in the sense that both M and L are not necessarily strongly elliptic and their coefficients may vanish or be negative in some part of the domain (0, T]×Ω. Two types of boundary conditions are investigated.
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- Copyright © Canadian Mathematical Society 1977
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