Yin, Hong-Ming On parabolic Volterra equations in several space dimensions. (English) Zbl 0745.45003 SIAM J. Math. Anal. 22, No. 6, 1723-1737 (1991). The author obtains Schauder and \(L_ p(Q_ T)\) estimates for the solutions to a class of linear parabolic integrodifferential equations. Using these estimates he then studies the continuous dependence, the uniqueness and the regularity of the solutions for a class of nonlinear integrodifferential equations and proves a global solvability result. Reviewer: I.Vrabie (Iaşi) Cited in 15 Documents MSC: 45K05 Integro-partial differential equations 45G10 Other nonlinear integral equations Keywords:a priori estimates; global existence; linear parabolic integrodifferential equations; continuous dependence; regularity; nonlinear integrodifferential equations; global solvability PDFBibTeX XMLCite \textit{H.-M. Yin}, SIAM J. Math. Anal. 22, No. 6, 1723--1737 (1991; Zbl 0745.45003) Full Text: DOI