Dirichlet problems with discontinuous coefficients and Feller semigroups

DOI10.1007/s12215-019-00404-5zbMath1501.47075OpenAlexW2918217000MaRDI QIDQ777171

Kazuaki Taira

Publication date: 3 July 2020

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-019-00404-5

zbMATH Keywords

maximum principlesingular integralFeller semigroupDirichlet condition\(\mathrm{VMO}\) functionWaldenfels operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Transition functions, generators and resolvents (60J35) Integro-differential operators (47G20)

Related Items (7)

Ventcel' boundary value problems for elliptic Waldenfels operators ⋮ Feller semigroups and degenerate elliptic operators III ⋮ A mathematical study of diffusive logistic equations with mixed type boundary conditions ⋮ Singular integrals and Feller semigroups with jump phenomena ⋮ Oblique derivative problems and Feller semigroups with discontinuous coefficients ⋮ Semilinear degenerate elliptic boundary value problems via the Semenov approximation ⋮ On the maximum principles and the quantitative version of the Hopf lemma for uniformly elliptic integro-differential operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integro-differential operators associated with diffusion processes with jumps
• Existence and regularity results for solutions of second-order, elliptic, integrodifferential operators
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• On \(BMO\) regularity for linear elliptic systems
• Stochastic processes. A survey of the mathematical theory
• Logistic Dirichlet problems with discontinuous coefficients.
• Elliptic partial differential equations of second order
• Markov processes associated with certain integro-differential operators
• Boundary value problems for elliptic integro-differential operators
• Positive Halbgruppen auf einen \(n\)-dimensionalen Torus
• On the existence of Feller semigroups with discontinuous coefficients
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• Semi-groupes de Feller sur une variété à bord compacte et problèmes aux limites intégro-différentiels du second ordre donnant lieu au principe du maximum
• Multi-dimensional diffusion and the Markov process on the boundary
• On the existence of certain singular integrals
• The basic propositions on defect numbers, root numbers and indices of linear operators
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
• On functions of bounded mean oscillation
• Weakly Differentiable Functions
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• [https://portal.mardi4nfdi.de/wiki/Publication:4043914 Diffusion processes associated with L�vy generators]
• Functions of Vanishing Mean Oscillation
• Some properties of functions with bounded mean oscillation
• Boundary value problems for Waldenfels operators
• Semigroups, Boundary Value Problems and Markov Processes
• Stochastic calculus of variations for jump processes

This page was built for publication: Dirichlet problems with discontinuous coefficients and Feller semigroups