Some further classes of pseudo-differential operators in the \(p\)-adic context and their applications
DOI10.1007/s11868-023-00514-wOpenAlexW4327814832MaRDI QIDQ6039231
Adriana Alexandra Albarracín Mantilla, Anselmo Torresblanca-Badillo
Publication date: 4 May 2023
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-023-00514-w
Markov processesheat kernelpseudodifferential operatorsFeller semigroups\(p\)-adic analysistransition functions
Continuous-time Markov processes on general state spaces (60J25) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Pseudodifferential operators (47G30) Initial value problems for PDEs with pseudodifferential operators (35S10)
Related Items (2)
Cites Work
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- Dissipative operators in a Banach space
- Conservativeness of semigroups generated by pseudo differential operators
- A symbolic calculus for pseudo differential operators generating Feller semigroups
- On Feller processes with sample paths in Besov spaces
- Applications of \(p\)-adics to geophysics: linear and quasilinear diffusion of water-in-oil and oil-in-water emulsions
- Ultrametric diffusion, exponential landscapes, and the first passage time problem
- Number theory as the ultimate physical theory
- \(p\)-adic analogue of the porous medium equation
- Non-Archimedean generalized Bessel potentials and their applications
- Non-Archimedean pseudo-differential operators on Sobolev spaces related to negative definite functions
- Probability density functions and the dynamics of complex systems associated to some classes of non-Archimedean pseudo-differential operators
- On some generalizations of non-Archimedean pseudo-differential operators and their applications
- Multidimensional nonlinear pseudo-differential evolution equation with \(p\)-adic spatial variables
- Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators
- Semi-linear Cauchy problem and Markov process associated with a \(p\)-adic non-local ultradiffusion operator
- Some classes of non-Archimedean pseudo-differential operators related to Bessel potentials
- Finite time blow-up for a \(p\)-adic nonlocal semilinear ultradiffusion equation
- Non-Archimedean pseudodifferential operators and Feller semigroups
- Ultrametric diffusion equation on energy landscape to model disease spread in hierarchic socially clustered population
- \(p\)-adic cellular neural networks: applications to image processing
- Feller semigroups, Dirichlet forms, and pseudo differential operators
- Fourier Analysis on Local Fields. (MN-15)
- p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
- p-adic description of characteristic relaxation in complex systems
- Feller semigroups, Lp -sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols
- Ultrametric Pseudodifferential Equations and Applications
- Non-Archimedean Coulomb gases
- Boundary value problems and Markov processes
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