A SHOCK LAYER ARISING AS THE SOURCE TERM COLLAPSES IN THE P(X)-LAPLACIAN EQUATION
We study the Cauchy–Dirichlet problem for the p(x)-Laplacian equation with a regular finite nonlinear minor term. The minor term depends on a small parameter ε > 0 and, as ε → 0, converges weakly* to the expression incorporating the Dirac delta function, which models a shock (impulsive) loading....
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Petrozavodsk State University
2020-11-01
|
Series: | Проблемы анализа |
Subjects: | |
Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8990&lang=ru |