Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
|
Buy Now
Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications (Hardcover, New)
Loot Price: R4,599
Discovery Miles 45 990
|
|
Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications (Hardcover, New)
Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
Expected to ship within 12 - 17 working days
|
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 fora wide range of physical problems.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.