Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem
From MaRDI portal
Publication:5009318
DOI10.1090/tran/8397zbMath1477.35099arXiv2009.07967OpenAlexW3131998572MaRDI QIDQ5009318
Publication date: 20 August 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.07967
existence and uniquenessboundary regularity estimatessingular-degenerate parabolic equationsweighted and mixed norm Sobolev spaces
Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Singular parabolic equations (35K67)
Related Items (5)
Degenerate linear parabolic equations in divergence form on the upper half space ⋮ Calderón-Zygmund estimates for nonlinear parabolic equations with matrix weights on nonsmooth domains ⋮ Nondivergence form degenerate linear parabolic equations on the upper half space ⋮ A unified approach to degenerate problems in the half-space ⋮ Weighted mixed-norm \(L_p\) estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bernstein theorem and regularity for a class of Monge-Ampère equations
- Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains
- Parabolic equations with measurable coefficients
- On the Dirichlet problem for minimal graphs in hyperbolic space
- On divergence form SPDEs with VMO coefficients in a half space
- A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains
- A class of fully nonlinear elliptic equations with singularity at the boundary
- \(L_{p}\)-estimates for time fractional parabolic equations with coefficients measurable in time
- Transition probabilities for degenerate diffusions arising in population genetics
- All time \(C^\infty\)-regularity of the interface in degenerate diffusion: A geometric approach
- Degenerate stochastic differential equations and super-Markov chains
- A weighted \(L_p\)-theory for divergence type parabolic PDEs with BMO coefficients on \(C^1\)-domains
- Weighted mixed-norm \(L_p\)-estimates for elliptic and parabolic equations in non-divergence form with singular coefficients
- Krylov-Safonov estimates for a degenerate diffusion process
- Regularity for parabolic equations with singular or degenerate coefficients
- Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces
- Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations
- Optimal boundary regularity for nonlinear singular elliptic equations
- Hölder continuity of weak solutions of a class of linear equations with boundary degeneracy
- Parabolic and Elliptic Systems in Divergence Form with Variably Partially BMO Coefficients
- Weighted-W^{1,p} estimates for weak solutions of degenerate and singular elliptic equations
- Parabolic and Elliptic Equations with VMO Coefficients
- The local regularity of solutions of degenerate elliptic equations
- Regularity of the free boundary for the porous medium equation
- Weighted sobolev spaces and laplace's equation and the heat equations in a half space
- On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights
- On The Sobolev Space Theory of Parabolic and Elliptic Equations inC1Domains
- A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space
- Degenerate Diffusion Operators Arising in Population Biology
- Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions
- Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- An Extension Problem Related to the Fractional Laplacian
- Elliptic Differential Equations with Coefficients Measurable with Respect to One Variable and VMO with Respect to the Others
This page was built for publication: Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem
