Pseudodifferential Operators and Nonlinear PDE
- ISBN-10
- 0817635955
- ISBN-13
- 9780817635954
- Category
- Mathematics
- Pages
- 234
- Language
- English
- Published
- 1991-11-01
- Publisher
- Springer Science & Business Media
- Author
- Michael Taylor
Description
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 used of pseudodifferential operator techniques in nonlinear PDE. The book should be of interest to graduate students, instructors, and researchers interested in partial differential equations, nonlinear analysis in classical mathematical physics and differential geometry, and in harmonic analysis.
Get the book
Other editions
-
- 2012-12-06
- 216 pages
- Ebook
- Springer Science & Business Media
Similar books
-
Tools for PDE: Pseudodifferential Operators, Paradifferential Operators, and Layer Potentials
By Michael E. TaylorM. Anderson, Metrics of positive Ricci curvature with large diameter, Manus. Math. 68 (1990), 405–415. M. Anderson, Convergence and rigidity of manifolds under Ricci curvature bounds, Invent. Math. 102 (1990), 429–445.
-
Pseudo-differential Operators and the Nash-Moser Theorem
By Serge Alinhac, Patrick GérardThis book presents two essential and apparently unrelated subjects.
-
Tools for PDE: Pseudodifferential Operators, Paradifferential Operators, and Layer Potentials
By Michael Eugene TaylorThis book develops three related tools that are useful in the analysis of partial differential equations, arising from the classical study of singular integral operators: pseudodifferential operators, paradifferential operators, and layer ...
-
Introduction to Nonlinear Dispersive Equations
By Felipe Linares, Gustavo PonceConf. on Nonlinear Evolution Equations: Integrability and Spectral Methods, Machester, U.K., 1988. ... Global existence and uniqueness of Schrödinger maps in dimension d ≥ 4, Advances in Math. 215 (2007), 263–291.
-
Modern Trends in Pseudo-Differential Operators
By Joachim Toft, M. W. Wong, Hongmei Zhu[13] B.-W. Schulze, Pseudo-differential Operators on Manifolds with Singularities, NorthHolland, Amsterdam, 1991. [14] B.-W. Schulze, Corner Mellin operators and conormal asymptotics, in Sem. Equ. aux Dériv. Part. 1990–1991, Exp. XII, ...
-
New Developments in Pseudo-Differential Operators: ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara,Turkey, August 2007
By Luigi Rodino, M. W. Wong[1] M.S. Agranovich, Spectral properties of elliptic pseudodifferential operators on a closed curve, Funktsional. ... [17] M. Ruzhansky and V. Turunen, Pseudo-Differential Operators and Symmetries, Birkh ̈auser, to appear. [18] Yu.
-
Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics
By Michael Ruzhansky, Ville Turunen10.5 Boundedness of operators on L*(G) In this section we will state some natural conditions on the symbol of an Operator A : C°(G) – C*(G) to guarantee its boundedness on L*(G). Recall first that the Hilbert–Schmidt inner product of ...
-
Pseudo-Differential Operators and Related Topics
By Joachim Toft, Luigi Rodino, Paolo Boggiatto[2] H.O. Cordes, The Technique of Pseudodifferential Operators. Cambridge University Press ... [11] M. Taylor, Pseudodifferential Operators and Nonlinear PDE, Progress in Mathematics, 100, Birkh ̈auser Boston, Inc., Boston, MA, 1991.
-
Pseudo-Differential Operators and Generalized Functions
By Joachim Toft, Stevan Pilipović[6] C. Garetto and M. Ruzhansky, Weakly hyperbolic equations with non-analytic coefficients and lower order terms. Math. Ann. 357(2013), 401–440. ... [16] M. Ruzhansky and V. Turunen, Pseudo-differential operators and symmetries.
-
Recent Advances in Operator Theory and Its Applications: The Israel Gohberg Anniversary Volume
By Marinus A. Kaashoek, Sebastiano Seatzu, Cornelis van der MeeThis book contains a selection of carefully refereed research papers, most of which were presented at the fourteenth International Workshop on Operator Theory and its Applications (IWOTA), held at Cagliari, Italy, from June 24-27, 2003.