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About this book :-
Lecture Notes In Analysis written by Sergiu Klainerman .
These lecture notes cover the topic General Equations, Distribution Theory, Fundamental solutions and the basic linear PDEs, Fourier transform, Basic Functional Inequalities, Decay estimates, Strichartz Inequalities, Bilinear Estimates.
Book Detail :-
Title: Lecture Notes In Analysis
Author(s): Sergiu Klainerman
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About Author :-
The author Sergiu Klainerman , (born 1950) is a Romanian American mathematician known. He is known for his contributions work of hyperbolic differential equations and general relativity. He is currently the Eugene Higgins Professor of Mathematics at Princeton University, where he has been teaching since 1987.
He was born in 1950 in Bucharest, Romania, into a Jewish family. After attending the Petru Groza High School, he studied mathematics at the University of Bucharest from 1969 to 1974. He went to New York University for complete his Ph.D. in 1978 with thesis titled "Global Existence for Nonlinear Wave Equations".
From 1978 to 1980 Klainerman was a Miller Research Fellow at the University of California, Berkeley, while from 1980 to 1987 he was a faculty member at New York University's Courant Institute of Mathematical Sciences, rising in rank to Professor in 1986. Klainerman is a member of the U.S. National Academy of Sciences (elected 2005), a foreign member of the French Academy of Sciences (elected 2002) and a Fellow of the American Academy of Arts and Sciences (elected 1996). He was elected to the 2018 class of fellows of the American Mathematical Society. He was named a MacArthur Fellow in 1991 and Guggenheim Fellow in 1997. Klainerman was awarded the Bôcher Memorial Prize by the American Mathematical Society in 1999 "for his contributions to nonlinear hyperbolic equations". He is currently a co-Editor-in-Chief of Publications Mathématiques de l'IHÉS.
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Book Contents :-
Lecture Notes In Analysis written by Sergiu Klainerman cover the following topics. '
Intorduction to PDE
Equations Derived by the Variational Principle, General Equations, Distribution Theory, Fundamental solutions and the basic linear PDEs
Basic Tools of Analysis
Fourier transform, Basic Functional Inequalities
Analysis of the Wave Equation in Minkowski Space
Decay estimates, Strichartz Inequalities, Bilinear Estimates
Basic Concepts in Riemannian and Lorentzian, Geometry
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