Bougoffa, Lazhar Parabolic equations with nonlocal conditions. (English) Zbl 1129.35429 Appl. Math. Sci., Ruse 1, No. 21-24, 1041-1048 (2007). Summary: We study a boundary value problem for a class of parabolic equations with nonlocal conditions. We prove the existence and uniqueness of the solution, using a priori estimate and Fourier’s method. Cited in 2 Documents MSC: 35K20 Initial-boundary value problems for second-order parabolic equations 35B45 A priori estimates in context of PDEs 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:one space dimension; Fourier’s method PDFBibTeX XMLCite \textit{L. Bougoffa}, Appl. Math. Sci., Ruse 1, No. 21--24, 1041--1048 (2007; Zbl 1129.35429)