Concepedia

Cauchy Problem

The Cauchy Problem is an initial value problem in the context of partial differential equations, specifically within general relativity, where the evolution of a spacetime metric is determined from initial data specified on a spacelike hypersurface, subject to the Einstein field equations and appropriate constraints.

4.5K

Publications

200.2K

Citations

4.8K

Authors

1.7K

Institutions

Publications per year

2017–2026

644

Parents

Publications

4.5K

<i>Lectures on Cauchy's Problem in Linear Partial Differential Equations</i>

Jacques Hadamard, Philip Μ. Morse · Physics Today · 1953 · 2.1K citations · Full text

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FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

S N Kružkov · Mathematics of the USSR-Sbornik · 1970 · 1.8K citations

, , +6

Vector-valued laplace transforms and cauchy problems

Wolfgang Arendt · Israel Journal of Mathematics · 1987 · 1.4K citations

, , +13

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

Ronald J. DiPerna, Pierre‐Louis Lions · Annals of Mathematics · 1989 · 1.2K citations

, , +14

Schwarzschild field inn dimensions and the dimensionality of space problem

F. R. Tangherlini · Il Nuovo Cimento · 1963 · 1K citations

, , +14

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Authors

4.8K

  1. LM
    Liviu Marin

    University of Leeds, United Kingdom

    30 publications · 1.5K citations

    21

    h-index

  2. DL
    D. Lesnic

    University of Leeds, United Kingdom

    30 publications · 1.4K citations

    20

    h-index

  3. TW
    Ting Wei

    Lanzhou University, China

    22 publications · 965 citations

    17

    h-index

  4. JS
    Jean‐Claude Saut

    Université Paris-Sud, France

    19 publications · 1.2K citations

    16

    h-index

  5. TY
    Tong Yang

    City University of Hong Kong, Hong Kong SAR China

    18 publications · 1K citations

    16

    h-index

1–5 of 4.8K

Institutions

1.7K

  1. Centre National de la Recherche Scientifique

    Paris, France

    40 h-index

    194 publications

    10.8K citations

  2. Université Paris Cité

    Paris, France

    29 h-index

    53 publications

    4.3K citations

  3. University of Leeds

    Leeds, United Kingdom

    28 h-index

    98 publications

    5.2K citations

  4. University of Bologna

    Bologna, Italy

    23 h-index

    52 publications

    2.9K citations

  5. Chinese Academy of Sciences

    Beijing, China

    23 h-index

    47 publications

    2.7K citations

  6. Waseda University

    Tokyo, Japan

    22 h-index

    40 publications

    1.7K citations

  7. Lanzhou University

    Lanzhou, China

    22 h-index

    80 publications

    2.8K citations

  8. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    22 h-index

    58 publications

    2.1K citations

1–8 of 1.7K

Venues

  1. SIAM Journal on Mathematical Analysis

    147 publications · 7.5K citations

    47

    h-index

  2. Communications in Partial Differential Equations

    121 publications · 7.4K citations

    47

    h-index

  3. Inverse Problems

    89 publications · 5.4K citations

    45

    h-index

  4. Journal of Differential Equations

    107 publications · 5.4K citations

    43

    h-index

  5. Communications on Pure and Applied Mathematics

    54 publications · 4.6K citations

    36

    h-index

1–5