2004
DOI: 10.4064/am31-3-4
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Existence for a Cauchy–Dirichlet problem for evolutional p-Laplacian systems

Abstract: 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.

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Cited by 2 publications
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“…(1.4) (refer to [19]; [ First, we now estimate the difference of u from v in the local L p -norm. Let us use the notation in (2.12) for the integral average.…”
Section: Lemma 2 Let U Be a Weak Solution Ofmentioning
confidence: 99%
“…(1.4) (refer to [19]; [ First, we now estimate the difference of u from v in the local L p -norm. Let us use the notation in (2.12) for the integral average.…”
Section: Lemma 2 Let U Be a Weak Solution Ofmentioning
confidence: 99%