Semilinear degenerate evolution inequalities with singular potential constructed from the generalized Greiner vector fields

DOI10.1016/j.geomphys.2006.10.006zbMath1109.35029OpenAlexW2090872841MaRDI QIDQ870999

Zixia Yuan, Peng Cheng Niu

Publication date: 15 March 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.10.006

zbMATH Keywords

existencenonexistencemodified Bessel functionmethod of supersolution

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Degenerate parabolic equations (35K65) Initial value problems for nonlinear higher-order PDEs (35G25) Subelliptic equations (35H20)

Related Items (1)

Global existence and asymptotic behavior of solutions to a semilinear parabolic equation on Carnot groups

Cites Work

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• The value of the critical exponent for reaction-diffusion equations in cones
• Existence and nonexistence results for higher-order semilinear evolution inequalities with critical potential
• Hypoelliptic second order differential equations
• Some nonexistence results for higher-order evolution inequalities in cone-like domains
• A Fundamental Solution for a Nonelliptic Partial Differential Operator
• On a Liouville-type theorem and the Fujita blow-up phenomenon
• A Hopf Type Lemma and a CR Type Inversion for the Generalized Greiner Operator
• A fundamental solution for a subelliptic operator

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