THE DERRIDA-LEBOWITZ-SPEER-SPOHN EQUATION : EXISTENCE, NONUNIQUENESS, AND DECAY RATES OF THE SOLUTIO...
THE DERRIDA-LEBOWITZ-SPEER-SPOHN EQUATION : EXISTENCE, NONUNIQUENESS, AND DECAY RATES OF THE SOLUTIONS
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Philadelphia, PA: Society for Industrial and Applied Mathematics
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Language
English
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Philadelphia, PA: Society for Industrial and Applied Mathematics
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The logarithmic fourth-order equation $\partial_t u + \frac12\sum_{i,j=1}^d\partial_{ij}^2(u\partial_{ij}^2\log u) = 0,$ called the Derrida-Lebowitz-Speer-Spohn equation, with periodic boundary conditions is analyzed. The global-in-time existence of weak nonnegative solutions in space dimensions $d\leq 3$ is shown. Furthermore, a family of entropy-...
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Full title
THE DERRIDA-LEBOWITZ-SPEER-SPOHN EQUATION : EXISTENCE, NONUNIQUENESS, AND DECAY RATES OF THE SOLUTIONS
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TN_cdi_proquest_journals_923924275
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_923924275
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ISSN
0036-1410
E-ISSN
1095-7154
DOI
10.1137/060676878
