Título del libro: Partial Differential Equations And Applications: Collected Papers In Honor Of Carlo Pucci
Título del capítulo: On the continuous dependence of the solution of a linear parabolic partial differential equation on the boundary data and the solution at an interior spatial point
Autores UNAM:
SALVADOR PEREZ ESTEVA;
Autores externos:
Idioma:
Inglés
Año de publicación:
2017
Resumen:
Entidades citadas de la UNAM:
SALVADOR PEREZ ESTEVA;
Autores externos:
Idioma:
Inglés
Año de publicación:
2017
Resumen:
We consider the equation ut = (1+a(x, t)) uxx+b(x, t)ux+c(x, t)u + f(x, t), 0 < x < 1, 0 < t = T, subject to the condition u(0, t) = f(t), u(1, t) = ?(t), u(?, t) = g(t), 0 < t < Tm, Tm = T, where ? is an irrational number in 0 < x < 1. Under the additional conditions that the C 2+ a,1+ a/2 norm of u is bounded by M, 0 < x < 1, where M is a specified positive constant, we demostrate that u depends continouously upon the data ?, f, ?, g and M provided that the coefficients a, b, and c tend to zero sufficiently fast as t tends to zero. An interesting subset of the analysis is an estimate of the Lp norm of the theta function for 1 = p = 3. © 1996 by MARCEL DEKKER, INC. All Rights Reserved.
Entidades citadas de la UNAM:
Fuente:
ISBN:
9781351425841
Editorial:
CRC Press Nombre de la publicación:
On the continuous dependence of the solution of a linear parabolic partial differential equation on the boundary data and the solution at an interior spatial point
Página inicial:
57
Página final:
68
ISBN:
9781351425841
Editorial:
CRC Press Nombre de la publicación:
On the continuous dependence of the solution of a linear parabolic partial differential equation on the boundary data and the solution at an interior spatial point
Página inicial:
57
Página final:
68
