Existence for a Cauchy–Dirichlet problem for evolutional $p$-Laplacian systems
Volume 31 / 2004
Applicationes Mathematicae 31 (2004), 287-302
MSC: 35D10, 35B65, 35K65.
DOI: 10.4064/am31-3-4
Abstract
We study the existence of a weak solution to a Cauchy–Dirichlet problem for evolutional $p$-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional $p$-Laplacian system with an $L^1$-function as external force. The key ingredient is the maximum principle for weak solutions.
