On Quasi-Linear Parabolic Equations
- 1 August 1967
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 30, 163-179
- https://doi.org/10.1017/s0027763000012459
Abstract
In this paper we consider the following quasi-linear parabolic equationsLu = ut — div A(x, t, u, ux)+B(x, t, u, ux= 0,where A is a given vector function of the variables x,t,u,uX, and B is a given scalar function of the some variables. We assume that they are difined in the rectangleKeywords
This publication has 4 references indexed in Scilit:
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- A harnack inequality for parabolic differential equationsCommunications on Pure and Applied Mathematics, 1964
- Local behavior of solutions of quasi-linear equationsActa Mathematica, 1964
- Removable singularities for linear parabolic equationsArchive for Rational Mechanics and Analysis, 1964