Solving nonlinear $p$-adic pseudo-differential equations: combining the wavelet basis with the Schauder fixed point theorem

DOI10.1007/s00041-020-09779-xzbMath1447.35406OpenAlexW3049002384MaRDI QIDQ2194730

E. Pourhadi, Maria de Jesús Correa López, Klaudia Oleschko, Andrei Yu. Khrennikov

Publication date: 7 September 2020

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-020-09779-x

zbMATH Keywords

Schauder fixed point theorem Arzelà-Ascoli theorem $p$-adic field $p$-adic wavelet basis

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fixed-point theorems (47H10) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)

Related Items (1)

Local well-posedness of the Cauchy problem for a $p$-adic Nagumo-type equation

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Solving nonlinear \(p\)-adic pseudo-differential equations: combining the wavelet basis with the Schauder fixed point theorem