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Pseudodifferential Operators and Nonlinear PDEs (Progress in Mathematics)

For the past 25 years the theory of pseudodifferential operators has played an important role in many exciting and deep investigations into linear PDE. Over the past decade, this tool has also begun to yield interesting results in nonlinear PDE. This book is devoted to a summary and reconsideration of some uses of pseudodifferential operator techniques in nonlinear PDE.

One goal has been to build a bridge between the two approaches which have been used in a number of papers written in the last decade, one being the theory of paradifferential operators, pioneered by Bony and Meyer, the other the study of pseudodifferential operators whose symbols have limited regularity. The latter approach is a natural successor to classical devices of deriving estimates for linear PDE whose coefficients have limited regularity in order to obtain results in nonlinear PDE.

After developing the requisite tools, we proceed to demonstrate their effectiveness on a range of basic topics in nonlinear PDE. For example, for hyperbolic systems, known sufficient conditions for persistence of solutions are both sharpened and extended in scope. In the treatment of parabolic equations and elliptic boundary problems, it is shown that the results obtained here interface particularly easily with the DeGiorgi-Nash-Moser theory, when that theory applies.

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	Science/Engineering Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains Harold Widom, "Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains" Springer \| 1985 \| ISBN: 3540157018 \| 156 pages \| Djvu \| 1,5 MB Not all books on AvaxHome appear on the homepage. In order not to miss many of ...
	Science/Engineering Fourier Integral Operators (Progress in Mathematics): J.J. Duistermaat Fourier Integral Operators (Progress in Mathematics): J.J. Duistermaat Birkhauser \| ISBN: 0817638210 \| 1995-11-29 \| djvu (ocr) \| 142 pages \| 1.81 Mb This volume is a useful introduction to the subject of Fourier Integral Operators and is b ...
	M. Taylor - Pseudodifferential Operators and Nonlinear PDEs M. Taylor - Pseudodifferential Operators and Nonlinear PDEsPublisher: Birkhäuser Boston \| 1991-11-01 \| ISBN: 0817635955 \| DJVU \| 228 pages \| 2.02 MBFor the past 25 years the theory of pseudodifferential operators has played an important ro ...
	The Technique of Pseudodifferential Operators H. O. Cordes, "The Technique of Pseudodifferential Operators" Cambridge University Press \| 1995 \| ISBN: 0521378648 \| 396 pages \| PDF \| 2,9 MB This book presents the technique of pseudodifferential operators and its applications, especia ...
	Nonlinear Oscillations of Hamiltonian PDEs Nonlinear Oscillations of Hamiltonian PDEs (Progress in Nonlinear Differential Equations and Their Applications) Publisher: Birkh
	Elementary Introduction to Theory of Pseudodifferential Operators Xavier Saint Raymond, "Elementary Introduction to Theory of Pseudodifferential Operators" CRC \| 1991 \| ISBN: 0849371589 \| 120 pages \| PDF \| 2,3 MB In the 19th century, the Fourier transformation was introduced to study various problems ...

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	Science/Engineering Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains Harold Widom, "Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains" Springer \| 1985 \| ISBN: 3540157018 \| 156 pages \| Djvu \| 1,5 MB Not all books on AvaxHome appear on the homepage. In order not to miss many of ...
	Science/Engineering Fourier Integral Operators (Progress in Mathematics): J.J. Duistermaat Fourier Integral Operators (Progress in Mathematics): J.J. Duistermaat Birkhauser \| ISBN: 0817638210 \| 1995-11-29 \| djvu (ocr) \| 142 pages \| 1.81 Mb This volume is a useful introduction to the subject of Fourier Integral Operators and is b ...
	M. Taylor - Pseudodifferential Operators and Nonlinear PDEs M. Taylor - Pseudodifferential Operators and Nonlinear PDEsPublisher: Birkhäuser Boston \| 1991-11-01 \| ISBN: 0817635955 \| DJVU \| 228 pages \| 2.02 MBFor the past 25 years the theory of pseudodifferential operators has played an important ro ...
	The Technique of Pseudodifferential Operators H. O. Cordes, "The Technique of Pseudodifferential Operators" Cambridge University Press \| 1995 \| ISBN: 0521378648 \| 396 pages \| PDF \| 2,9 MB This book presents the technique of pseudodifferential operators and its applications, especia ...
	Nonlinear Oscillations of Hamiltonian PDEs Nonlinear Oscillations of Hamiltonian PDEs (Progress in Nonlinear Differential Equations and Their Applications) Publisher: Birkh
	Elementary Introduction to Theory of Pseudodifferential Operators Xavier Saint Raymond, "Elementary Introduction to Theory of Pseudodifferential Operators" CRC \| 1991 \| ISBN: 0849371589 \| 120 pages \| PDF \| 2,3 MB In the 19th century, the Fourier transformation was introduced to study various problems ...

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