Markov uniqueness of degenerate elliptic operators

DOI10.2422/2036-2145.2011.3.07zbMath1259.47026arXiv0912.4536OpenAlexW1959814881MaRDI QIDQ3224178

Derek W. Robinson, Adam S. Sikora

Publication date: 29 March 2012

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4536

zbMATH Keywords

Markov semigroupDirichlet formelliptic operatorFriedrichs extension\(L_p\)-uniquenessMarkov uniqueness problempositive definite differential operator

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Degenerate elliptic equations (35J70) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05)

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Degenerate elliptic operators in one dimension, Uniqueness of form extensions and domination of semigroups, On extensions of local Dirichlet forms, Uniqueness properties of degenerate elliptic operators, Markov uniqueness and Fokker-Planck-Kolmogorov equations