Boundary conditions for nonlocal one-sided pseudo-differential operators and the associated stochastic processes
DOI10.4064/DM852-6-2024MaRDI QIDQ6623339
Boris Baeumer, Mihály Kovács, Lorenzo Toniazzi
Publication date: 23 October 2024
Published in: Dissertationes Mathematicae (Search for Journal in Brave)
Processes with independent increments; Lévy processes (60G51) Boundary value problems for PDEs with pseudodifferential operators (35S15) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35) Boundary theory for Markov processes (60J50)
Cites Work
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- The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
- Tempered fractional calculus
- Occupation densities in solving exit problems for Markov additive processes and their reflections
- Smoothness of scale functions for spectrally negative Lévy processes
- Spectral decomposition of fractional operators and a reflected stable semigroup
- Boundary value problems and Markov processes. Functional analysis methods for Markov processes
- Entrance and exit at infinity for stable jump diffusions
- Tempered stable Lévy motion and transient super-diffusion
- On the weak convergence of subordinated systems
- Semigroups of linear operators and applications to partial differential equations
- Convolution quadrature and discretized operational calculus. I
- Necessary and sufficient conditions for the continuity of local time of Lévy processes
- On convolution quadrature and Hille-Phillips operational calculus
- An extension of Pitman's theorem for spectrally positive Lévy processes
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
- Censored stable processes
- Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options
- Fractional partial differential equations with boundary conditions
- Totally ordered measured trees and splitting trees with infinite variation
- On the valuation of constant barrier options under spectrally one-sided exponential Lévy models and Carr's approximation for American puts.
- On exit and ergodicity of the spectrally one-sided Lévy process reflected at its infimum
- Fractional diffusion on bounded domains
- Boundary conditions for two-sided fractional diffusion
- The probabilistic point of view on the generalized fractional partial differential equations
- Markov processes, semigroups and generators.
- An explicit formula for the Skorokhod map on \([0,a]\)
- Introductory lectures on fluctuations of Lévy processes with applications.
- On doubly reflected completely asymmetric Lévy processes.
- On stable processes with boundary conditions
- Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
- The parabolic differential equations and the associated semigroups of transformation
- Pseudo differential operators and Markov processes. In 3 vol. Vol. 1: Fourier analysis and semigroups
- Stochastic-Process Limits
- Lévy Processes with Two-Sided Reflection
- Vector-valued Laplace Transforms and Cauchy Problems
- The Theory of Scale Functions for Spectrally Negative Lévy Processes
- On Neumann type problems for nonlocal equations set in a half space
- Reflected spectrally negative stable processes and their governing equations
- Small Random perturbation of dynamical systems with reflecting boundary
- Foundations of Modern Probability
- Nonlocal Modeling, Analysis, and Computation
- Séminaire de Probabilités XXXVIII
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- TheW,Zscale functions kit for first passage problems of spectrally negative Lévy processes, and applications to control problems
- Potential measures of one-sided Markov additive processes with reflecting and terminating barriers
- Markov Processes, Brownian Motion, and Time Symmetry
- Bernstein functions. Theory and applications
- Stochastic models for fractional calculus
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