On the uniqueness of solution to a martingale problem associated with a degenerate Lévy's operator

DOI10.1007/BF00995989zbMath0831.60067OpenAlexW2073259733MaRDI QIDQ1897888

H. Pragarauskas, Remigijus Mikulevičius

Publication date: 18 September 1995

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

Full work available at URL: https://doi.org/10.1007/bf00995989

zbMATH Keywords

Lévy measureuniqueness in law of a martingale problem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

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Cites Work

• Unnamed Item
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• Pseudo-differential operators and Markov processes
• Uniqueness in law for pure jump Markov processes
• On the Cauchy problem for certain integro-differential operators in Sobolev and Hölder spaces
• On the martingale problem associated with nondegenerate Lévy operators
• Markov processes associated with certain integro-differential operators
• Problems aux limits pseudo‐differentiels donnant lieu au principe du maximum
• Stochastic processes and semigroups associated with degenerate lévy generating operators
• Lévy measure with generalized polar decomposition and the associated sde with jumps
• [https://portal.mardi4nfdi.de/wiki/Publication:4043914 Diffusion processes associated with L�vy generators]
• On Itô’s Stochastic Integral Equations
• Diffusion processes with continuous coefficients, I