On simple-layer potentials for one class of pseudodifferential equations

DOI10.1007/s11253-016-1184-7zbMath1387.35649OpenAlexW2398572219MaRDI QIDQ1699441

M. M. Osypchuk, M. I. Portenko

Publication date: 23 February 2018

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1184-7

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Boundary value problems for PDEs with pseudodifferential operators (35S15) Stable stochastic processes (60G52)

Related Items (5)

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 ⋮ Heat Potentials Method in the Treatment of One-dimensional Free Boundry Problems Applied in Cryomedicine ⋮ Properties of single layer potentials for a pseudo-differential equation related to a linear transformation of a rotationally invariant stable stochastic process ⋮ On single-layer potentials for a class of pseudo-differential equations related to linear transformations of a symmetric $\alpha$-stable stochastic process

Cites Work

• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Some Theorems on Stable Processes
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