Fractional powers approach of operators for the solvability of some elliptic PDEs with variable operators coefficients
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Publication:640894
DOI10.1016/j.crma.2011.08.025zbMath1229.35042OpenAlexW2039252383MaRDI QIDQ640894
Publication date: 21 October 2011
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2011.08.025
Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Some existence and regularity results for abstract non-autonomous parabolic equations
- Fractional powers of closed operators and the semigroups generated by them
- Study of a complete abstract differential equation of elliptic type with variable operator coefficients. I.
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- On the Solvability and the Maximal Regularity of Complete Abstract Differential Equations of Elliptic Type
- Analytic semigroups and optimal regularity in parabolic problems
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