On the regularity of solutions of \(p\)-adic parabolic equations

DOI10.1134/S2070046611040042zbMath1254.35254MaRDI QIDQ1760292

J. Galeano-Peñaloza

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

elliptic pseudo-differential operatorsfunctional analysis over \(p\)-adic fieldsparabolic equations over \(p\)-adic fieldsTaibleson derivative

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (2)

Semi-linear Cauchy problem and Markov process associated with a \(p\)-adic non-local ultradiffusion operator ⋮ Parabolic-type pseudodifferential equations with elliptic symbols in dimension 3 over \(p\)-adics

Cites Work

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• Parabolic equations and Markov processes over \(p\)-adic fields
• Quantum mechanics on p-adic fields
• p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
• p-adic description of characteristic relaxation in complex systems
• ADÈLIC PATH SPACE INTEGRALS

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