Hilbert Space Methods for Partial Differential Equations

Open Access

15 June 1994

journal article
Published by Texas State University in Electronic Journal of Differential Equations

Vol. 1 (Mon. 01) , 1-214
https://doi.org/10.58997/ejde.mon.01

Abstract

This book is an outgrowth of a course which we have given almost periodically over the last eight years. It is addressed to beginning graduate students of mathematics, engineering, and the physical sciences. Thus, we have attempted to present it while presupposing a minimal background: the reader is assumed to have some prior acquaintance with the concepts of ``linear ''and ``continuous'' and also to believe (\L^2\) is complete. An undergraduate mathematics training through Lebesgue integration is an ideal background but we dare not assume it without turning away many of our best students. The formal prerequisite consists of a good advanced calculus course and a motivation to study partial differential equations.

Keywords

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