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A potential well theory for the heat equation with a nonlinear boundary condition
Author(s) -
Levine H. A.,
Smith R. A.,
Payne L. E.
Publication year - 1987
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670090111
Subject(s) - mathematics , heat equation , boundary value problem , work (physics) , nonlinear system , mathematical analysis , boundary (topology) , robin boundary condition , mixed boundary condition , thermodynamics , physics , quantum mechanics
The present paper employs potential well arguments of a previous work by the authors [6] to obtain a sharp existence‐nonexistence alternative for solutions to the linear heat equation subject to a non‐linear boundary condition.