Diffusion with nonlocal boundary conditions

Keywords

Mathematics, Semigroup, Bounded function, Holomorphic function, Pure mathematics

References

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• Analytic Semigroups and Optimal Regularity in Parabolic ProblemsAlessandra Lunardi — 2003
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• Semigroups, boundary value problems and Markov processes和昭 平良 — 2014
• Diffusions with holding and jumping boundaryJun Peng, Wenbo V. Li — 2013
• Brownian Motion on the Figure EightIlie Grigorescu, Min Ho Kang — 2002
• On Boundary Conditions For Multidimensional Diffusion ProcessesA. D. Vent-Tsel’ — 1959
• Diffusion processes in one dimensionWilliam Feller — 1954
• Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measureIddo Ben-Ari, Ross G. Pinsky — 2007
• On Feller Semigroups Generated by Elliptic Operators with Integro-differential Boundary ConditionsЕ. И. Галахов, А. Л. Скубачевский — 2001
• On Periodicity of Solutions For Thermocontrol Problems with Hysteresis-Type SwitchesPavel Gurevich, Willi Jäger, А. Л. Скубачевский — 2009
• A Pettis-type integral and applications to transition semigroupsMarkus Kunze — 2009
• Ergodic Properties of Multidimensional Brownian Motion with RebirthIlie Grigorescu, Min Ho Kang — 2007
• Ergodic behavior of diffusions with random jumps from the boundaryIddo Ben-Ari, Ross G. Pinsky — 2009
• Markov Processes: Characterization and ConvergenceAndris Abakuks, S. N. Ethier, Thomas G. Kurtz — 2005
• Continuity and Equicontinuity of Transition SemigroupsMarkus Kunze — 2009
• Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundaryP. L. Gurevich — 2008
• VARYING DOMAINS: STABILITY OF THE DIRICHLET AND THE POISSON PROBLEMWolfgang Arendt, Daniel Daners — 2008
• THE PARABOLIC DIFFERENTIAL EQUATIONS AND THE ASSOCIATED SEMI-GROUPS OF TRANSFORMATIONSWilliam Feller — 1952

Cited by

• Asymptotic behavior of strong Feller semigroupsMarkus Kunze — 2014
• Diffusion with nonlocal Robin boundary conditionsWolfgang Arendt, Stefan Kunkel, Markus Kunze — 2016
• Convergence of positive operator semigroupsMoritz Gerlach, Jochen Glück — 2017
• MULTIPLICITIES OF EIGENVALUES OF THE DIFFUSION OPERATOR WITH RANDOM JUMPS FROM THE BOUNDARYJun Yan, Guoliang Shi — 2018
• Diffusion with nonlocal Dirichlet boundary conditions on domainsMarkus C. Kunze — 2018
• Dependence of eigenvalues on the diffusion operators with random jumps from the boundaryJun Yan — 2019
• Markov selection for constrained martingale problemsCristina Costantini, Thomas G. Kurtz — 2019
• Uniform convergence to equilibrium for coupled parabolic PDEs and linear evolution equationsAlexander Dobrick, Jochen Glück — 2020
• Stability of transition semigroups and applications to parabolic equationsMoritz Gerlach, Jochen Glück, Markus Kunze — 2020
• Positive irreducible semigroups and their long-time behaviour†Wolfgang Arendt, Jochen Glück — 2020
• A meshless computational approach for solving two-dimensional inverse time-fractional diffusion problem with non-local boundary conditionHadi Roohani Ghehsareh, Sayyed Mahmood Zabetzadeh — 2020
• Spectral analysis of the multidimensional diffusion operator with random jumps from the boundaryDavid Krejčiřík, Vladimir Lotoreichik, Konstantin Pankrashkin — 2020
• Uniform convergence of operator semigroups without time regularityAlexander Dobrick, Jochen Glück — 2020
• On one-dimensional diffusion processes with moving membranesBohdan Kopytko, Roman Shevchuk — 2022
• A monotone convergence theorem for strong Feller semigroupsChristian Budde, Alexander Dobrick, Jochen Glück — 2022
• Concatenation of Nonhonest Feller Processes, Exit Laws, and Limit Theorems on GraphsAdam Bobrowski — 2023
• The Fractional Laplacian with ReflectionsKrzysztof Bogdan, Markus Kunze — 2022
• The linearized Poisson–Nernst–Planck system as heat flow on the interval under non‐local boundary conditionsGershon Wolansky — 2021
• Localization for constrained martingale problems and optimal conditions for uniqueness of reflecting diffusions in 2-dimensional domainsCristina Costantini, Thomas G. Kurtz — 2022
• A generalization of Lévy’s theorem on positive matrix semigroupsMoritz Gerlach — 2024

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