Estimates of heat kernels with Neumann boundary conditions
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Publication:1935449
DOI10.1007/s11118-012-9286-9zbMath1262.35115OpenAlexW2158780929MaRDI QIDQ1935449
Publication date: 15 February 2013
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-012-9286-9
Diffusion processes (60J60) A priori estimates in context of PDEs (35B45) Transition functions, generators and resolvents (60J35) Heat kernel (35K08)
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Cites Work
- A boundary value problem of partial differential equations of parabolic type
- Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
- A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
- Integrability of functionals of Dirichlet processes, probabilistic representations of semigroups, and estimates of heat kernels
- Dirichlet forms and symmetric Markov processes
- Gaussian bounds for the fundamental solutions of \(\nabla(A\nabla u)+B\nabla u-u_ t=0\)
- A Harnack inequality for the equation \(\nabla (a \nabla u) + b \nabla u = 0\), when \(| b | \in K_{n+1}\)
- Time-reversal and elliptic boundary value problems
- Perturbation of symmetric Markov processes
- Local behavior of solutions of quasilinear parabolic equations
- Multi-dimensional diffusion and the Markov process on the boundary
- Bounds for the fundamental solution of a parabolic equation
