Estimates of the derivatives for parabolic operators with unbounded coefficients
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Publication:4663479
DOI10.1090/S0002-9947-05-03781-5zbMath1065.35077MaRDI QIDQ4663479
Marcello Bertoldi, Luca Lorenzi
Publication date: 31 March 2005
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Markov semigroupnonhomogeneous Cauchy-Dirichlet problemoptimal Schauder boundsuniform and pointwise estimates
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45)
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Cites Work
- Some classes of non-analytic Markov semigroups
- Liouville theorems for non-local operators
- Classes of solutions of linear systems of partial differential equations of parabolic type
- On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups
- Feller semigroups on \(\mathbb{R}^N\)
- Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
- \(L^p\)-regularity for elliptic operators with unbounded coefficients
- Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$
- Gradient estimates in parabolic problems with unbounded coefficients
- Analytic semigroups and optimal regularity in parabolic problems
- Second order PDE's in finite and infinite dimension
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