Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the Modified Kuramoto-Sivashinky Equation in one and two space dimensions

DOI10.1007/s10884-019-09762-1zbMath1509.35072arXiv1609.09394WikidataQ115383430 ScholiaQ115383430MaRDI QIDQ6278093

Guido Gentile, Jonathan H. B. Deane, Michele V. Bartuccelli

Publication date: 29 September 2016

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Semilinear parabolic equations (35K58)

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