Existence result for a nonlinear mixed boundary value problem for the heat equation
type: Item
instance of: scholarly article
title: Existence result for a nonlinear mixed boundary value problem for the heat equation
author: Riccardo Molinarolo
published in: Journal of Mathematical Analysis and Applications
publication date: 2024-11-20T00:00:00Z
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 7946877
zbMATH Keywords: heat equation
zbMATH Keywords: shape perturbation
zbMATH Keywords: layer potentials
zbMATH Keywords: mixed problem
zbMATH Keywords: shape sensitivity analysis
MaRDI profile type: Publication
cites work: Uniqueness for the determination of unknown boundary and impedance with the homogeneous Robin condition
cites work: A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance
cites work: Domain derivative approach to active infrared thermography
cites work: The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders
cites work: Q3583392
cites work: Dependence of the layer heat potentials upon support perturbations.
cites work: Multi-parameter perturbations for the space-periodic heat equation
cites work: Existence results for a nonlinear transmission problem
cites work: Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem
cites work: Existence results for a nonlinear nonautonomous transmission problem via domain perturbation
cites work: Stability properties of an inverse parabolic problem with unknown boundaries
cites work: Elliptic partial differential equations of second order
cites work: Shape variation and optimization. A geometrical analysis
cites work: An inverse problem in corrosion detection
cites work: Q5562267
cites work: Q3444538
cites work: Asymptotic behavior of the solutions of a nonlinear Robin problem for the Laplace operator in a domain with a small hole: a functional analytic approach
cites work: Q5116249
cites work: Tangential derivatives and higher-order regularizing properties of the double layer heat potential
cites work: A perturbation result for periodic layer potentials of general second order differential operators with constant coefficients
cites work: Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density
cites work: Q4354424
cites work: Regularizing properties of space‐periodic layer heat potentials and applications to boundary value problems in periodic domains
cites work: Periodic Transmission Problems for the Heat Equation
cites work: Perturbation analysis of the effective conductivity of a periodic composite
cites work: Q5376875
cites work: Reconstruction of an unknown cavity with Robin boundary condition inside a heat conductor
cites work: Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method
cites work: Q4000354
cites work: Topological derivatives in shape optimization
cites work: Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
DOI: 10.1016/J.JMAA.2024.128878
description: scientific article; zbMATH DE number 7946877