Keyword

Cauchy problem

Description: An initial-value problem for a differential equation that seeks a solution satisfying prescribed data on an initial surface or time.

Primary topic: Differential Equations and Boundary Problems (21%)

OpenAlex ID: keywords/cauchy-problem

The Large Scale Structure of Space-Time

1973 · S. W. Hawking, G. F. R. Ellis · Cambridge University Press eBooks · 10,333

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Lectures on Cauchy's Problem in Linear Partial Differential Equations

1953 · Jacques Hadamard, Philip M. Morse · Physics Today · 2,085

Preface

2006 · Anatoly A. Kilbas, Hari M. Srivastava, et al. · North-Holland mathematics studies · 2,076

First Order Quasilinear Equations in Several Independent Variables

1970 · S N Kružkov · Mathematics of the USSR-Sbornik · 1,816

Stability in gauged extended supergravity

1982 · Peter Breitenlohner, Daniel Z Freedman · Annals of Physics · 1,771

Vector-valued laplace transforms and cauchy problems

1987 · Wolfgang Arendt · Israel Journal of Mathematics · 1,394

On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability

1989 · R. J. DiPerna, P. L. Lions · Annals of Mathematics · 1,196

Partial Differential Equations

1964 · P. R. Garabedian · CERN Document Server (European Organization for Nuclear Research) · 969

Partial Differential Equations

1969 · R. Timman · Elsevier eBooks · 896

Vector-valued Laplace Transforms and Cauchy Problems

2001 · Wolfgang Arendt, Charles J. K. Batty, et al. · Springer eBooks · 885

The Cauchy problem for quasi-linear symmetric hyperbolic systems

1975 · Tosio Kato · Archive for Rational Mechanics and Analysis · 883

L'intégrale de Riemann-Liouville et le problème de Cauchy

1949 · Marcel Riesz · Acta Mathematica · 849

Nonlinear Differential Equations of Monotone Types in Banach Spaces

2009 · Viorel Barbu · Springer monographs in mathematics · 772

The cauchy problem for the critical nonlinear Schrödinger equation in Hs

1990 · Thierry Cazenave, Fred B. Weissler · Nonlinear Analysis · 767

PALATINI APPROACH TO MODIFIED GRAVITY: f(R) THEORIES AND BEYOND

2011 · GONZALO J. OLMO · International Journal of Modern Physics D · 766

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Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces

2001 · Mikhail Kamenskii, Valeri Obukhovskii, et al. · De Gruyter eBooks · 753

On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

1977 · R. T. Glassey · Journal of Mathematical Physics · 735

The fundamental solution of the space-time fractional diffusion equation

2007 · Mainardi, Francesco, Luchko, Yuri, et al. · arXiv (Cornell University) · 710

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The Cauchy Problem in Kinetic Theory

1996 · Robert T. Glassey · Society for Industrial and Applied Mathematics eBooks · 698

Initial-Boundary Value Problems and the Navier-Stokes Equations

1989 · Pure and applied mathematics · 663

Some Applications of Functional Analysis in Mathematical Physics

2008 · S. Sobolev · Translations of mathematical monographs · 661

The fundamental solutions for the fractional diffusion-wave equation

1996 · F. Mainardi · Applied Mathematics Letters · 653

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Symmetric hyperbolic linear differential equations

1954 · K. O. Friedrichs · Communications on Pure and Applied Mathematics · 652

Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires

1952 · Y. Fourès-Bruhat · Acta Mathematica · 650

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Transport equation and Cauchy problem for BV vector fields

2004 · Luigi Ambrosio · Inventiones mathematicae · 625

Works count: 27,870

Citation count: 307,700