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On space-time quasiconcave solutions of the heat equation / Chuanqiang Chen, Xinan Ma, Paolo Salani.
Math/Physics/Astronomy Library QA3 .A57 no.1244
Available
- Format:
- Book
- Author/Creator:
- Chen, Chuanqiang (Mathematician), author.
- Ma, Xinan, author.
- Salani, Paolo, 1968- author.
- Series:
- Memoirs of the American Mathematical Society ; no. 1244.
- Memoirs of the American Mathematical Society, 0065-9266 ; number 1244
- Language:
- English
- Subjects (All):
- Heat equation--Numerical solutions.
- Heat equation.
- Physical Description:
- v, 81 pages ; 26 cm.
- Place of Publication:
- Providence, RI : AMS, American Mathematical Society, [2019]
- Summary:
- "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"-- Provided by publisher.
- Notes:
- "May 2019, volume 259, number 1244 (first of 8 numbers)."
- Includes bibliographical references.
- ISBN:
- 9781470435240
- 1470435241
- OCLC:
- 1090183803
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