From the reviews: "The aim of the book is to present "the systematic development of the general theory of second order quasilinear elliptic equations and of the linear theory required in the process." The book is divided into two parts. The first (ch. 2 - 8) is devoted to the linear theory, the second (ch. 9 - 15( to the theory of quasi-linear partial differential equations. Th...(展开全部)

From the reviews: "This book is a bibliographical monument to the theory of both theoretical and applied PDEs that has not acquired any flaws due to its age. On the contrary, it remains a crucial and essential tool for the active research in the field." (Francesco Petitta, SIAM Review, Vol. 61 (4), December, 2019) "The aim of the book is to present "the systematic development o...(展开全部)

This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy's example of a linear equation without solutions.

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, i...(展开全部)

本书俄文介绍: http://pilotlz.ru/books/267/4691/ 本书英文介绍: http://eng.pilotlz.ru/books/320/6154/ Сборник содержит материалы для упражнений по ку рсу дифференциальных уравнений с частными производными для университетов и технических вузов с повышенной математической программой. Ко всем задачам даны ответы, к отдельным задачам — решения. Представлены также варианты задач письменного экзам...(展开全部)

The second edition of "Introduction to Partial Differential Equations", which originally appeared in the Princeton series "Mathematical Notes", serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern the...(展开全部)