On space-time quasiconcave solutions of the heat equation / Chuanqiang Chen, Xinan Ma, Paolo Salani

Von:

Chen, Chuanqiang [VerfasserIn]

Mitwirkende(r):

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 259, number 1244 (May 2019)Verlag: Providence, RI : American Mathematical Society, [2019]Beschreibung: v, 81 Seiten : IllustrationenISBN:

9781470435240

Schlagwörter:

Heat equation

Andere physische Formen: 9781470452438. | Erscheint auch als: On space-time quasiconcave solutions of the heat equation. Online-Ausgabe Providence : American Mathematical Society, 2019. 1 Online-Ressource (v, 81 Seiten)MSC: MSC: 35K20 | 35B30LOC-Klassifikation:

QA377

DOI: DOI: 10.1090/memo/1244Zusammenfassung: "In this Memoir we first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave solution of the heat equation. Utilizing this constant rank theorem, we can obtain some strictly convexity results of the spatial and space-time level sets of the space-time quasiconcave solution of the heat equation in a convex ring. To explain our ideas and for completeness, we also review the constant rank theorem technique for the spacetime Hessian of space-time convex solution of heat equation and for the second fundamental form of the convex level sets for harmonic function"--PPN: PPN: 1668272687

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