Science/Engineering Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications (1584884622)

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Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications (Chapman and Hall/Crc Applied Mathematics and Nonlinear Science)

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 Pólya 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.

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	Science/Engineering Geometric Analysis and Nonlinear Partial Differential Equations J Ilya J. Bakelman “Geometric Analysis and Nonlinear Partial Differential Equations" CRC \| 1993-02-17 \| ISBN:0824788974 \| Djvu \| 336 pages \| 8 Mb This reference features papers from the Special Session of the American Mathematical Society ...
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	Science/Engineering Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications Contemporary Trends in Nonlinear Geometric Control Theory and Its ApplicationsWorld Scientific Publishing Company \| ISBN: 9810248415 \| 2002-03-01 \| PDF \| 496 pages \| 14 Mb Mathematical control theory has evolved from the study of practical ...
	Science/Engineering Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications (repost) F. Monroy-Perez, B. Bonnard, J. P. Gauthier, "Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications" World Scientific Publishing Company \| 2002 \| ISBN: 9810248415 \| 496 pages \| PDF \| 17,2 MB Mathematical control t ...
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	Science/Engineering Abstract Parabolic Evolution Equations and their Applications Abstract Parabolic Evolution Equations and their ApplicationsPublisher: Springer \| Pages: 581 \| 2009-12-01 \| ISBN 3642046304 \| PDF \| 3.5 MBThe semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equation ...

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	Science/Engineering Geometric Analysis and Nonlinear Partial Differential Equations J Ilya J. Bakelman “Geometric Analysis and Nonlinear Partial Differential Equations" CRC \| 1993-02-17 \| ISBN:0824788974 \| Djvu \| 336 pages \| 8 Mb This reference features papers from the Special Session of the American Mathematical Society ...
	Science/Engineering Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications Janusz Mierczynski, Wenxian Shen “Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications" Chapman & Hall/CRC \| 2008-03-24 \| ISBN: 1584888954 \| 336 pages \| PDF \| 1,6 Mb
	Science/Engineering Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications Contemporary Trends in Nonlinear Geometric Control Theory and Its ApplicationsWorld Scientific Publishing Company \| ISBN: 9810248415 \| 2002-03-01 \| PDF \| 496 pages \| 14 Mb Mathematical control theory has evolved from the study of practical ...
	Science/Engineering Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications (repost) F. Monroy-Perez, B. Bonnard, J. P. Gauthier, "Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications" World Scientific Publishing Company \| 2002 \| ISBN: 9810248415 \| 496 pages \| PDF \| 17,2 MB Mathematical control t ...
	Science/Engineering Applications of Analytic and Geometric Methods to Nonlinear Differential Equations Applications of Analytic and Geometric Methods to Nonlinear Differential EquationsSpringer \| September 30, 1993 \| ISBN-10: 0792324579 \| 488 pages \| Djvu \| 5.47 mbIn the study of integrable systems, two different approaches in particular hav ...
	Science/Engineering Abstract Parabolic Evolution Equations and their Applications Abstract Parabolic Evolution Equations and their ApplicationsPublisher: Springer \| Pages: 581 \| 2009-12-01 \| ISBN 3642046304 \| PDF \| 3.5 MBThe semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equation ...

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