Oblique derivative problems and Feller semigroups with discontinuous coefficients

DOI10.1007/s11587-020-00509-5OpenAlexW3017313732MaRDI QIDQ6196238

Kazuaki Taira

Publication date: 14 March 2024

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://tsukuba.repo.nii.ac.jp/record/56762/files/RM_2020.pdf

zbMATH Keywords

maximum principleFeller semigroupoblique derivative boundary conditionVMO functionuniformly elliptic differential operatoringular integral

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)

Related Items

Singular integrals and Feller semigroups with jump phenomena, MFO-RIMS tandem workshop: Nonlocality in analysis, probability and statistics. Abstracts from the MFO-RIMS tandem workshop held March 20--26, 2022, Logistic Neumann problems with discontinuous coefficients

Cites Work

• Sui problemi di derivata obliqua per le equazioni ellittiche
• Dirichlet problems with discontinuous coefficients and Feller semigroups
• On the existence of Feller semigroups with discontinuous coefficients. II
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• On \(BMO\) regularity for linear elliptic systems
• Elliptic partial differential equations of second order
• Ventcel' boundary value problems for elliptic Waldenfels 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
• Boundary problems for pseudo-differential operators
• 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
• On functions of bounded mean oscillation
• Local Estimates for Subsolutions and Supersolutions of Oblique Derivative Problems for General Second Order Elliptic Equations
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Functions of Vanishing Mean Oscillation
• Boundary value problem with an oblique derivative for uniformly elliptic operators with discontinuous coefficients
• Semigroups, Boundary Value Problems and Markov Processes
• 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
• Unnamed Item