**Translations of Mathematical Monographs**

1998;
203 pp;
Hardcover

MSC: Primary 35;

**Print ISBN: 978-0-8218-0857-3
Product Code: MMONO/171**

List Price: $104.00

AMS Member Price: $83.20

MAA Member Price: $93.60

**Electronic ISBN: 978-1-4704-4586-7
Product Code: MMONO/171.E**

List Price: $98.00

AMS Member Price: $78.40

MAA Member Price: $88.20

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# Second Order Equations of Elliptic and Parabolic Type

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*E. M. Landis*

Most books on elliptic and parabolic equations emphasize existence and
uniqueness of solutions. By contrast, this book focuses on the qualitative
properties of solutions. In addition to the discussion of
classical results for equations with smooth coefficients (Schauder
estimates and the solvability of the Dirichlet problem for elliptic
equations; the Dirichlet problem for the heat equation), the book
describes properties of solutions to second order elliptic and
parabolic equations with measurable coefficients near the boundary and
at infinity.

The book presents a fine elementary introduction to the theory of
elliptic and parabolic equations of second order. The precise and
clear exposition is suitable for graduate
students as well as for research mathematicians who want to get
acquainted with this area of the theory of partial differential
equations.

#### Readership

Graduate students and research mathematicians interested in partial differential equations and mathematical physics.

#### Reviews & Endorsements

There are probably few mathematical texts that present these deep results in such a vivid and readable manner. The book can be highly recommended to all mathematicians working in the theory of PDEs of elliptic and parabolic types. The precise and clear exposition also makes it attractive to graduate students.

-- European Mathematical Society Newsletter

This book is an original and accessible account on the topics of elliptic and parabolic partial differential equations. Each section contains a number of bibliographic remarks.

-- Zentralblatt MATH