Geodesic
Existence for a Cauchy–Dirichlet problem for evolutional $p$-Laplacian systems
Masashi Misawa1
1 Department of Mathematics Faculty of Science Kumamoto University 2-39-1 Kurokami, Kumamoto-shi Kumamoto 860-8555, Japan
Applicationes Mathematicae, Tome 31 (2004) no. 3, pp. 287-302 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am31-3-4
Keywords: study existence weak solution cauchy dirichlet problem evolutional p laplacian systems constant coefficients principal term only initial boundary assumed bounded weak solution evolutional p laplacian system function external force key ingredient maximum principle weak solutions

Masashi Misawa 1

1 Department of Mathematics Faculty of Science Kumamoto University 2-39-1 Kurokami, Kumamoto-shi Kumamoto 860-8555, Japan 
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Masashi Misawa. Existence for a Cauchy–Dirichlet problem
 for evolutional $p$-Laplacian systems. Applicationes Mathematicae, Tome 31 (2004) no. 3, pp. 287-302. doi: 10.4064/am31-3-4

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