Schauder estimates for a degenerate second order elliptic operator on a cube
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Publication:2462085
DOI10.1016/j.jde.2007.08.002zbMath1138.35027OpenAlexW2002805900MaRDI QIDQ2462085
Sandra Cerrai, Philippe Clément
Publication date: 23 November 2007
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2007.08.002
degenerate elliptic equationsstochastic invariancemartingale problemnon-smooth domainsFleming-Viot operatorgeneration of semigroup
Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
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Cites Work
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- Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations
- Semigroups of linear operators and applications to partial differential equations
- Local existence and regularity for a class of degenerate parabolic equations
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- Schauder estimates for a class of second order elliptic operators on a cube.
- Degenerate stochastic differential equations and super-Markov chains
- Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains
- Analyticity for some degenerate one-dimensional evolution equations
- Équations différentielles abstraites
- Analytic semigroups and optimal regularity in parabolic problems
- On a class of degenerate elliptic operators arising from Fleming-Viot processes