Parabolic flow on metric measure spaces

DOI10.1007/s00233-013-9506-7zbMath1288.35301OpenAlexW2055308670WikidataQ59398371 ScholiaQ59398371MaRDI QIDQ2447231

Anna Kurek, Przemysław Górka, Enrique Lazarte, Humberto E. Prado

Publication date: 25 April 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9506-7

zbMATH Keywords

heat kernelregularity theoryexistence of global in time solution

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items (2)

Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source ⋮ Nonlinear evolution equations with infinitely many derivatives

Cites Work

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• Harmonic functions on metric measure spaces: Convergence and compactness
• Definitions of Sobolev classes on metric spaces
• Sobolev spaces on an arbitrary metric space
• Global heat kernel estimates for symmetric jump processes
• Inhomogeneous parabolic equations on unbounded metric measure spaces
• Heat kernels on metric measure spaces and an application to semilinear elliptic equations
• Jump processes and nonlinear fractional heat equations on metric measure spaces
• Nonlinear diffusion equations on unbounded fractal domains

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