Existence of weak solutions to doubly degenerate diffusion equations |
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Authors: | Ale? Matas Jochen Merker |
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Institution: | 1. Department of Mathematics, University of West-Bohemia, Univerzitn?? 22, 306 14, Pilsen, Czech Republic 2. Institut f??r Mathematik, Universit?t Rostock, Universit?tsplatz 1, 180 51, Rostock, Germany
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Abstract: | We prove existence of weak solutions to doubly degenerate diffusion equations
(u)\dot] = Dp um - 1 + f(m,p \geqslant 2)\dot u = \Delta _p u^{m - 1} + f(m,p \geqslant 2) |
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