Second order linear parabolic equations in uniform spaces in \(\mathbb {R}^{N}\)

DOI10.1007/s13163-016-0215-0zbMath1364.35113OpenAlexW2560568491MaRDI QIDQ506416

Carlos Quesada, Aníbal Rodgriguez-Bernal

Publication date: 31 January 2017

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-016-0215-0

zbMATH Keywords

smoothingperturbationanalytic semigroupsparabolic equationsuniform spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Perturbations in context of PDEs (35B20) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Perturbation of analytic semigroups in scales of Banach spaces and applications to linear parabolic equations with low regularity data
• Bounded \(H_ \infty\)-calculus for elliptic operators
• \(H_\infty \)-calculus for elliptic operators with non-smooth coefficients
• Smoothing and perturbation for some fourth order linear parabolic equations in \(\mathbb R^N\)
• LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
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