Shape perturbation of a nonlinear mixed problem for the heat equation

DOI10.1007/S00028-024-01047-5MaRDI QIDQ6667645

Paolo Luzzini, Riccardo Molinarolo, P. Musolino, M. Dalla Riva

Publication date: 20 January 2025

Published in: Journal of Evolution Equations (Search for Journal in Brave)

zbMATH Keywords

heat equationlayer potentialsshape sensitivity analysisshape perturbationnonlinear Robin boundary conditionnonlinear mixed problem

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Perturbations in context of PDEs (35B20) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Linear integral equations (45A05)

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