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Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications by Victor A. Galaktionov (Hardcover, 2004)

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Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Polya in the 1930's and rediscovered in part several times since, it was not until the 1980's that the Sturmian argument for PDEs began to penetrate into the theory of parabolic equations and was found to have several fundamental applications.Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications focuses on geometric aspects of the intersection comparison for nonlinear models creating finite-time singularities. After introducing the original Sturm zero set results for linear parabolic equations and the basic concepts of geometric analysis, the author presents the main concepts and regularity results of the geometric intersection theory (G-theory). Here he considers the general singular equation and presents the geometric notions related to the regularity and interface propagation of solutions. In the general setting, the author describes the main aspects of the ODE-PDE duality, proves existence and nonexistence theorems, establishes uniqueness and optimal Bernstein-type estimates, and derives interface equations, including higher-order equations. The final two chapters explore some special aspects of discontinuous and continuous limit semigroups generated by singular parabolic equations.Much of the information presented here has never before been published in book form. Readable and self-contained, this book forms a unique and outstanding reference on second-order parabolic PDEs used as models for a wide range of physical problems.

Product Identifiers

Publisher
Taylor & Francis Inc
ISBN-13
9781584884620
eBay Product ID (ePID)
96488808

Product Key Features

Author
Victor A. Galaktionov
Publication Name
Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2004
Type
Textbook
Number of Pages
384 Pages

Dimensions

Item Height
234mm
Item Width
156mm
Item Weight
671g

Additional Product Features

Title_Author
Victor A. Galaktionov
Series Title
Chapman & Hall/Crc Applied Mathematics & Nonlinear Science
Country/Region of Manufacture
United States

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Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications by Victor A. Galaktionov (Hardcover, 2004)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Time Management by Peter Quarry (Paperback, 1986)

Complete Illustrated Encyclopedia of Dinosaurs & Prehistoric Creatures by Dixon Dougal (Paperback, 2014)

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Save on Adult Learning & University

Ford Falcon EF EL / Fairlane NF NL 1994 - 1998 Workshop Manual

Netter Atlas of Human Anatomy: Classic Regional Approach

Sapiens A Brief History of Humankind by Yuval Noah Harari Paperback Book NEW

BORN IN 1971?... 1951?BIRTHDAY...Australian Social History....Chrisi, Birthdays

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