Displaying similar documents to “Some remarks on the interface in the filtration problem”

Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems

Masashi Misawa (2004)

Applicationes Mathematicae

Similarity:

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 L¹-function as external force. The key ingredient is the maximum principle for weak solutions.