New classes of parabolic pseudo-differential equations, Feller semigroups, contraction semigroups and stochastic process on the $p$-adic numbers

Pseudodifferential operators as generalizations of partial differential operators (35S05) One-parameter semigroups and linear evolution equations (47D06) Prediction theory (aspects of stochastic processes) (60G25)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Pseudo-differential operators: analysis, applications and computations. Selected papers based on lectures presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO), London, UK, July 13--18, 2009
Dissipative operators in a Banach space
Semigroups of linear operators and applications to partial differential equations
Conservativeness of semigroups generated by pseudo differential operators
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
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
A stochastic $p$-adic model of the capillary flow in porous random medium
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
$p$-adic pseudodifferential operators and $p$-adic wavelets
Ultrametric diffusion equation on energy landscape to model disease spread in hierarchic socially clustered population
New classes of $p$-adic evolution equations and their applications
$p$-adic cellular neural networks
La théorie de Fredholm
Pseudo-Differential Operators and Symmetries
First passage time distribution and the number of returns for ultrametric random walks
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
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
Pseudo‐differential operators
An algebra of pseudo‐differential operators
Some further classes of pseudo-differential operators in the $p$-adic context and their applications

This page was built for publication: New classes of parabolic pseudo-differential equations, Feller semigroups, contraction semigroups and stochastic process on the $p$-adic numbers

New classes of parabolic pseudo-differential equations, Feller semigroups, contraction semigroups and stochastic process on the \(p\)-adic numbers