Hölder estimate for non-uniform parabolic equations in highly heterogeneous media

DOI10.1016/j.na.2012.01.027zbMath1242.35068OpenAlexW2049586957MaRDI QIDQ414487

Li-Ming Yeh

Publication date: 11 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.01.027

zbMATH Keywords

numerical rangeparametrixinfinitesimal generatorpseudo-differential operatorstrict solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10)

Related Items (3)

Uniform bound and convergence for elliptic homogenization problems ⋮ Convergence for elliptic equations in periodic perforated domains ⋮ Elliptic and parabolic equations in fractured media

Cites Work

• Some new a priori estimates for second-order elliptic and parabolic interface problems
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• Some uniform elliptic estimates in a porous medium
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• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Compactness methods in the theory of homogenization
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogenization and Two-Scale Convergence
• Estimates for elliptic systems from composite material
• Homogenization of parabolic equations with contrasting coefficients
• Equivalent Norms for Sobolev Spaces
• Analytic semigroups and optimal regularity in parabolic problems
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