On the Cauchy problem for the equation of one-dimensional non-stationary filtration with non-continuous initial data
Tadeusz Śliwa (1981)
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Tadeusz Śliwa (1981)
Colloquium Mathematicae
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T. Śliwa (1988)
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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 L¹-function as external force. The key ingredient is the maximum principle for weak solutions.
S. Zaidman (1976)
Rendiconti del Seminario Matematico della Università di Padova
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J. Ligęza (1975)
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Jan Persson (1976)
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D. G. Aronson (1968)
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International Journal of Mathematics and Mathematical Sciences
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M. Stojanović (1974)
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