WorldCat Identities

Tataru, Daniel 1967-

Overview
Works: 16 works in 50 publications in 2 languages and 537 library holdings
Roles: Author
Publication Timeline
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Most widely held works by Daniel Tataru
Dispersive Equations and Nonlinear Waves : Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps by Herbert Koch( )

17 editions published in 2014 in English and held by 342 WorldCat member libraries worldwide

The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrödinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, and the development of long-time Strichartz inequalities. The third part describes wave and Schrödinger maps. Starting by building heuristics about multilinear estimates, it provides a detailed outline of this very active area of geometric/dispersive PDE. It focuses on concepts and ideas and should provide graduate students with a stepping stone to this exciting direction of research
Near soliton evolution for equivariant Schrödinger maps in two spatial dimensions by Ioan Bejenaru( Book )

14 editions published between 2013 and 2014 in English and held by 160 WorldCat member libraries worldwide

Near soliton evolution for equivalent Schrödunger maps in two spatial dimensions by Ioan Bejenaru( Book )

1 edition published in 2014 in English and held by 8 WorldCat member libraries worldwide

Sharp counter examples in unique continuation for second order elliptic equations by Herbert Koch( Book )

2 editions published in 2001 in English and held by 5 WorldCat member libraries worldwide

Well-posedness for the Navier-Stokes equations by Herbert Koch( Book )

1 edition published in 1999 in German and held by 4 WorldCat member libraries worldwide

On the spectrum of hyperbolic semigroups by Herbert Koch( Book )

1 edition published in 1994 in German and held by 3 WorldCat member libraries worldwide

Carleman estimates and unique continuation for second order elliptic equations with nonsmooth coefficients by Herbert Koch( Book )

2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide

On the spectrum of hyperbolic semigroups by Harold James Koch( Book )

2 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide

A-priori pseudoconvexity energy estimates in domains with boundary and applications to exact boundary controllability for conservative P.D.E. by Daniel Tataru( Book )

2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide

Wellposedness and uniform decay rates for weak solutions to a von Kármán system with nonlinear dissipative boundary conditions by University of Minnesota( Book )

2 editions published between 1993 and 1994 in English and held by 2 WorldCat member libraries worldwide

Near soliton evolution for equivalent Schrödinger maps in two spatial dimensions by Ioan Bejenaru( )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

Global existence, uniqueness and regularity of solutions to a von Karman system with nonlinear boundary dissipation by University of Minnesota( Book )

1 edition published in 1993 in English and held by 1 WorldCat member library worldwide

Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms by Daniel Tataru( Book )

1 edition published in 1989 in English and held by 1 WorldCat member library worldwide

Well-posedness for the Navier-Stokes equations by Herbert Koch( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Time dependent m-accretive operators generating differentiable evolutions by Daniel Tataru( Book )

1 edition published in 1989 in English and held by 1 WorldCat member library worldwide

Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension( )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

Abstract: This article is concerned with the small data problem for the cubic nonlinear Schrödinger equation (NLS) in one space dimension, and short range modifications of it. We provide a new, simpler approach in order to prove that global solutions exist for data which is small in H 0, 1 . In the same setting we also discuss the related problems of obtaining a modified scattering expansion for the solution, as well as asymptotic completeness
 
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Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.60 (from 0.54 for Dispersive ... to 0.95 for Viscosity ...)

Alternative Names
Daniel Tataru matemático rumano

Daniel Tătaru mathématicien roumain

Daniel Tătaru Romanian mathematician

Daniel Tataru rumänisch-US-amerikanischer Mathematiker

Daniel Tataru wiskundige uit Roemenië

Languages
English (48)

German (2)