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

• Autorzy: Masashi Misawa
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35B65: Smoothness and regularity of solutions
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 3
• Strony: 287-302

Daty

wydano

2004

Twórcy

autor

Masashi Misawa

• Department of Mathematics, Faculty of Science, Kumamoto University, 2-39-1 Kurokami, Kumamoto-shi, Kumamoto 860-8555, Japan

Identyfikatory

DOI

10.4064/am31-3-4