SOLUTION TO A PARABOLIC EQUATION WITH INTEGRAL TYPE BOUNDARY CONDITION

IGNACIO BARRADAS ； SALVADOR PEREZ-ESTEVA

《International Journal of Mathematics and Mathematical Sciences》 1993卷 (1993/12) Pp. 775-781

https://doi.org/10.1155/S0161171293000961

摘要

In this paper we study the existence, and continuous dependence of the solution ϑ = ϑ(x, t) on a Hölder space H^(2+γ, 1+γ/2) (□_τ)(□_τ = [0, 1] × [0, τ], 0 ＜ γ ＜ 1) of a linear parabolic equation, prescribing ϑ(x, 0) = f(x), ϑ_x(1, τ) = g(τ)the integral type condition (The equation is abbreviated).

關鍵字

Parabolic equation ； integral bundary condition