Properties of single layer potentials for a pseudo-differential equation related to a linear transformation of a rotationally invariant stable stochastic process

DOI10.30970/MS.55.1.94-106zbMath1481.60090OpenAlexW3135485718WikidataQ115223946 ScholiaQ115223946MaRDI QIDQ2028194

Kh. V. Mamalyha, M. M. Osypchuk

Publication date: 31 May 2021

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.55.1.94-106

zbMATH Keywords

single layer potentialpseudo-differential equationjump theorem\( \alpha \)-stable stochastic process

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Stable stochastic processes (60G52)

Cites Work

• Unnamed Item
• 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
• On simple-layer potentials for one class of pseudodifferential equations
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Lectures on Fourier Integrals. (AM-42)
• On single-layer potentials for a class of pseudo-differential equations related to linear transformations of a symmetric $\alpha$-stable stochastic process

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