Parabolic-type pseudodifferential equations with elliptic symbols in dimension 3 over \(p\)-adics

DOI10.1134/S207004661501001XzbMath1330.35231OpenAlexW1996864350MaRDI QIDQ2515293

J. Galeano-Peñaloza, J. J. Rodríguez-Vega, O. F. Casas-Sánchez

Publication date: 31 July 2015

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

Full work available at URL: https://doi.org/10.1134/s207004661501001x

zbMATH Keywords

fundamental solution of the Cauchy problemlocal zeta functionsRiesz kernels\(p\)-adic pseudodifferential operatorelliptic quadratic form

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Parabolic equations and parabolic systems (35K99)

Related Items (3)

Solving nonlinear \(p\)-adic pseudo-differential equations: combining the wavelet basis with the Schauder fixed point theorem ⋮ On the p-Adic analog of Richards’ equation with the finite difference method ⋮ On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over \(p\)-adic field

Cites Work

• Elliptic pseudodifferential equations and Sobolev spaces over \(p\)-adic fields
• On the regularity of solutions of \(p\)-adic parabolic equations
• \(p\)-adic elliptic quadratic forms, parabolic-type pseudodifferential equations with variable coefficients and Markov processes
• Riesz kernels and pseudodifferential operators attached to quadratic forms over \(p\)-adic fields
• Parabolic equations and Markov processes over \(p\)-adic fields
• Sur certains groupes d'opérateurs unitaires
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