Fundamental solution for super-critical non-symmetric Lévy-type operators

DOI10.57262/ade029-0506-291arXiv1807.04257OpenAlexW2856212943MaRDI QIDQ6187499

Karol Szczypkowski

Publication date: 15 January 2024

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04257

zbMATH Keywords

internal drift coefficient

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Groups and semigroups of linear operators (47D03) Integro-differential operators (47G20) Integro-partial differential equations (35R09) Heat kernel (35K08) Jump processes on general state spaces (60J76)

Cites Work

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• Heat kernels and analyticity of non-symmetric jump diffusion semigroups
• Fundamental solution of the fractional diffusion equation with a singular drift
• Time-dependent gradient perturbations of fractional Laplacian
• Dirichlet forms and symmetric Markov processes.
• Estimates of gradient perturbation series
• On fractional and nonlocal parabolic mean field games in the whole space
• Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
• Semigroups of linear operators and applications to partial differential equations
• Upper bounds for symmetric Markov transition functions
• The fundamental solution for pseudo-differential operators of parabolic type
• A symbolic calculus for pseudo differential operators generating Feller semigroups
• A class of Feller semigroups generated by pseudodifferential operators
• On Poisson equation and diffusion approximation. II.
• Über die Grundlösung bei parabolischen Gleichungen
• Heat kernels for time-dependent non-symmetric stable-like operators
• Parametrix construction of the transition probability density of the solution to an SDE driven by \(\alpha\)-stable noise
• Heat kernels of non-symmetric jump processes: beyond the stable case
• On weak uniqueness and distributional properties of a solution to an SDE with \(\alpha\)-stable noise
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Existence of densities for stable-like driven SDEs with Hölder continuous coefficients
• Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel
• Periodic homogenization of a Lévy-type process with small jumps
• Estimates of heat kernels of non-symmetric Lévy processes
• Lévy processes: concentration function and heat kernel bounds
• Heat kernels of non-symmetric Lévy-type operators
• Heat kernel of anisotropic nonlocal operators
• Density and tails of unimodal convolution semigroups
• Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
• Parametrix construction for certain Lévy-type processes
• Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
• The fundamental solution of the parabolic equation
• Regularity of the density of a stable-like driven SDE with Hölder continuous coefficients
• Heat kernel estimates for critical fractional diffusion operators
• Global heat kernel estimates for symmetric jump processes
• On Nonlocal Perturbations of Integral Kernels
• Construction of time-inhomogeneous Markov processes via evolution equations using pseudo-differential operators
• Heat kernel upper bounds for jump processes and the first exit time
• [https://portal.mardi4nfdi.de/wiki/Publication:3664169 The isoperimetric inequality for isotropic unimodal L�vy processes]
• The fundamental solution for a degenerate parabolic pseudo-dierential operator
• Symmetric Stable Laws and Stable-Like Jump-Diffusions
• Fractional Differential Equations
• Transition probabilities of Lévy‐type processes: Parametrix construction
• Heat Kernels for Non-symmetric Non-local Operators
• On multidimensional stable processes with locally unbounded drift
• Some perturbations of drift-type for symmetric stable processes
• Transition density estimates for diagonal systems of SDEs driven by cylindrical $\alpha$-stable processes
• Construction and heat kernel estimates of generalstable-like Markov processes
• Intrinsic compound kernel estimates for the transition probability density of a L\'evy type processes and their applications
• A parametrix construction for the fundamental solution of the evolution equation associated with a pseudo‐differential operator generating a Markov process

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