Optimal regularity and Fredholm properties of abstract parabolic operators in $L^{p}$ spaces on the real line
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Publication:5709819
DOI10.1112/S0024611505015406zbMath1085.35091MaRDI QIDQ5709819
Alessandra Lunardi, Davide Di Giorgio, Roland Schnaubelt
Publication date: 30 November 2005
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic equations (35K20) (Semi-) Fredholm operators; index theories (47A53)
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Stochastic Equations with Boundary Noise ⋮ The Fredholm alternative for parabolic evolution equations with inhomogeneous boundary conditions ⋮ An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation ⋮ Linear first-order evolution problems without initial conditions ⋮ Second order optimality conditions for optimal control of quasilinear parabolic equations ⋮ Itô's formula in UMD Banach spaces and regularity of solutions of the Zakai equation ⋮ The dichotomy theorem for evolution bi-families ⋮ Solvability of initial boundary value problems for non-autonomous evolution equations ⋮ \(L^p\)-regularity for parabolic operators with unbounded time-dependent coefficients
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