Perturbation of analytic semigroups in scales of Banach spaces and applications to linear parabolic equations with low regularity data

DOI10.1007/BF03322580zbMath1242.47034OpenAlexW2138663546MaRDI QIDQ435132

Aníbal Rodgriguez-Bernal

Publication date: 11 July 2012

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322580

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10)

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Cites Work

• Dynamics in dumbbell domains. II: The limiting problem
• Geometric theory of semilinear parabolic equations
• A generation theorem for semigroups of growth order \(\alpha\)
• Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
• LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Analytic semigroups and optimal regularity in parabolic problems
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