The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory
DOI10.1016/j.jmaa.2010.08.053zbMath1218.47071OpenAlexW1591297299MaRDI QIDQ616692
Andrei Yu. Khrennikov, Sergio A. Albeverio, Vladimir Shelkovich
Publication date: 12 January 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.053
fractional operator\(p\)-adic waveletsvariable separation method\(p\)-adic Lizorkin space\(p\)-adic pseudo-differential equation\(p\)-adic pseudo-differential operator
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (19)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Localization in space for a free particle in ultrametric quantum mechanics
- \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
- Taibleson operators, \(p\)-adic parabolic equations and ultrametric diffusion
- Non-Haar \(p\)-adic wavelets and pseudodifferential operators
- \(p\)-adic orthogonal wavelet bases
- Toward an ultrametric theory of turbulence
- Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations
- Multidimensional ultrametric pseudodifferential equations
- \(p\) -adic semilinear evolutionary pseudodifferential equations in Lizorkin spaces
- The Cauchy problem for a class of pseudodifferential equations over \(p\)-adic field
- Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems
- Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics
- Fundamental solutions of pseudo-differential operators over \(p\)-adic fields
- Fourier Analysis on Local Fields. (MN-15)
- Fundamental solutions of pseudodifferential equations connected with $ p$-adic quadratic forms
- p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
- Application ofp-adic analysis to models of breaking of replica symmetry
- Pseudo-differential equations connected with p-adic forms and local zeta functions
- Wavelet theory as $ p$-adic spectral analysis
- p-Adic Models of Turbulence
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
This page was built for publication: The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory