On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content

DOI10.1137/21M1433411zbMath1491.35261arXiv2106.12480OpenAlexW3174258531WikidataQ114615447 ScholiaQ114615447MaRDI QIDQ5081161

Liangpan Li

Publication date: 13 June 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.12480

zbMATH Keywords

Dirichlet boundary condition heat kernel heat content principle of not feeling the boundary maximum principles for parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Variational methods for eigenvalues of operators (49R05) Heat kernel (35K08)

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