On single-layer potentials, pseudo-gradients and a jump theorem for an isotropic \(\alpha\)-stable stochastic process

DOI10.1007/S11868-023-00574-YzbMath1528.60042OpenAlexW4389488979MaRDI QIDQ6139538

Khrystyna Mamalyha, M. M. Osypchuk

Publication date: 19 January 2024

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-023-00574-y

zbMATH Keywords

pseudo-differential operatorpseudo-gradientsingle-layer potential\(\alpha\)-stable stochastic process

Mathematics Subject Classification ID

Stable stochastic processes (60G52) Connections of harmonic functions with differential equations in higher dimensions (31B35) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• Symmetric \(\alpha\)-stable stochastic process and the third initial-boundary-value problem for the corresponding pseudodifferential equation
• On the third initial-boundary value problem for some class of pseudo-differential equations related to a symmetric \(\alpha\)-stable process
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Fourier Transforms. (AM-19)
• Bilateral estimates of some pseudo-derivatives of the transition probability density of an isotropic $\alpha$-stable stochastic process
• Unnamed Item

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