Nonautonomous parabolic equations involving measures

DOI10.1007/s10958-005-0376-8zbMath1159.35386OpenAlexW2006474788MaRDI QIDQ937940

Herbert Amann

Publication date: 18 August 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/21838/1/npe.pdf

Mathematics Subject Classification ID

Related Items (16)

Optimal Control of Nonsmooth, Semilinear Parabolic Equations ⋮ Optimal Control of Quasilinear Parabolic PDEs with State-Constraints ⋮ Parabolic evolution equations and nonlinear boundary conditions ⋮ Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 2: Optimality Conditions ⋮ On determining the source function in heat and mass transfer problems under integral overdetermination conditions ⋮ ABOUT SOME CLASSES OF REVERSE TASKS ON DETERMINING THE SOURCE FUNCTION ⋮ Some classes of inverse problems of determining the source function in convection-diffusion systems ⋮ On some classes of inverse problems of recovering a source function ⋮ Second order optimality conditions for optimal control of quasilinear parabolic equations ⋮ Optimal control of reaction-diffusion systems with hysteresis ⋮ Existence of solutions of a thermoviscoplastic model and associated optimal control problems ⋮ Solvability of initial boundary value problems for non-autonomous evolution equations ⋮ Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations ⋮ Convergence of the SQP method for quasilinear parabolic optimal control problems ⋮ On some asymptotic representations of solutions to elliptic equations and their applications ⋮ A bilevel learning approach for optimal observation placement in variational data assimilation

Cites Work

• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Bounded \(H_ \infty\)-calculus for elliptic operators
• Optimal control problems governed by semilinear parabolic equations with low regularity data
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Semilinear parabolic equations involving measures and low regularity data
• Maximal Regularity for Nonautonomous Evolution Equations
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