Preservation of support and positivity for solutions of degenerate evolution equations

DOI10.1088/0951-7715/23/3/010zbMath1187.35202OpenAlexW2118765620MaRDI QIDQ3550008

David M. Ambrose, J. Douglas Wright

Publication date: 30 March 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/42464c551a596fe837bb9bf79e4cbebd0400c380

zbMATH Keywords

polynomialsKorteweg-de Vries equationpreservation of positivityequations of degenerate typeRosenau-Hyman compacton equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (7)

Loss of regularity in the ${K(m, n)}$ equations ⋮ Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions ⋮ Symmetry multi-reduction method for partial differential equations with conservation laws ⋮ Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations ⋮ Well-posedness of fully nonlinear KdV-type evolution equations ⋮ Traveling waves and weak solutions for an equation with degenerate dispersion ⋮ NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY

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