Complex powers for cone differential operators and the heat equation on manifolds with conical singularities

DOI10.1090/proc/13986zbMath1390.35110arXiv1702.00253OpenAlexW2963206769WikidataQ115290794 ScholiaQ115290794MaRDI QIDQ4636754

Nikolaos Roidos

Publication date: 20 April 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00253

zbMATH Keywords

conical singularitymaximal regularitycone differential operatorMellin-Sobolev spaceheat equation on manifold

Mathematics Subject Classification ID

Heat equation (35K05) Degenerate parabolic equations (35K65) Interpolation between normed linear spaces (46B70) Heat and other parabolic equation methods for PDEs on manifolds (58J35) PDEs on manifolds (35R01)

Related Items

Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical singularities ⋮ Expanding solutions of quasilinear parabolic equations ⋮ The Swift-Hohenberg equation on conic manifolds

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