Fréchet differentiability of the solution of the heat equation with respect to a nonlinear boundary condition

DOI10.4171/ZAA/718zbMath0858.35012OpenAlexW1963621439MaRDI QIDQ1924305

Arnd Rösch

Publication date: 14 October 1996

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/718

zbMATH Keywords

maximum principleboundary integral equationanalytic semigroup

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

Dynamics identification in evolution models using radial basis functions ⋮ Reconstruction of boundary condition laws in heat conduction using the boundary element method ⋮ Identification of nonlinear heat transfer laws from boundary observations ⋮ On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs

Cites Work

• The superposition operator in function spaces - A survey
• Parabolic evolution equations and nonlinear boundary conditions
• Optimal control for parabolic equations
• On NEMYTSKIJ Operators inLp-Spaces of Abstract Functions
• Identification of nonlinear heat transfer laws by optimal control
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