Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients
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Publication:3068377
DOI10.1002/cpa.20349zbMath1216.35040OpenAlexW2016442240MaRDI QIDQ3068377
Norayr Matevosyan, Arshak Petrosyan
Publication date: 14 January 2011
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.20349
Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) General theory of partial differential operators (47F05) Free boundary problems for PDEs (35R35)
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Cites Work
- Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
- Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form
- Some new monotonicity theorems with applications to free boundary problems.
- Free-boundary regularity for a problem arising in superconductivity
- A Generalized Poincare Inequality for Gaussian Measures
- Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
- C1, 1 Regularity in semilinear elliptic problems
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