Concepedia

Local Existence Theory

Local Existence Theory is a mathematical framework within the study of differential equations that establishes the conditions under which a solution to an initial value problem exists uniquely in a neighborhood of the initial point.

1.1K

Publications

54.7K

Citations

1.6K

Authors

778

Institutions

Publications per year

2017–2026

187

Parents

Publications

1.1K

Endpoint Strichartz estimates

M. Keel, Terence Tao · American Journal of Mathematics · 1998 · 2.1K citations

, , +7

Global and local behavior of positive solutions of nonlinear elliptic equations

Basilis Gidas, Joel Spruck · Communications on Pure and Applied Mathematics · 1981 · 1.3K citations

, , +11

Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

Sergiù Klainerman, Andrew J. Majda · Communications on Pure and Applied Mathematics · 1981 · 915 citations

, , +15

On the Cauchy Problem for the Generalized Korteweg-de Vries Equation

Luc Molinet, Francis Ribaud · Communications in Partial Differential Equations · 2003 · 529 citations

, , +13

Global existence theory and chaos control of fractional differential equations

Wei Lin · Journal of Mathematical Analysis and Applications · 2006 · 516 citations

, , +15

1–5 of 1.1K

Authors

1.6K

  1. IK
    Igor Kukavica

    University of Southern California, United States

    11 publications · 580 citations

    10

    h-index

  2. YS
    Yoshihiro Shibata

    Waseda University, Japan

    9 publications · 433 citations

    9

    h-index

  3. SK
    Sotiris K. Ntouyas

    University of Ioannina, Greece

    8 publications · 326 citations

    8

    h-index

  4. WM
    Wojciech M. Zajączkowski

    Polish Academy of Sciences, Poland

    7 publications · 150 citations

    7

    h-index

  5. TY
    Tong Yang

    City University of Hong Kong, Hong Kong SAR China

    7 publications · 500 citations

    7

    h-index

1–5 of 1.6K

Institutions

778

  1. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    50 publications

    1.6K citations

  2. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    14 h-index

    23 publications

    1.5K citations

  3. Universidade de São Paulo

    São Paulo, Brazil

    12 h-index

    20 publications

    968 citations

  4. Sun Yat-sen University

    Guangzhou, China

    12 h-index

    19 publications

    1.2K citations

  5. University of Pisa

    Pisa, Italy

    12 h-index

    16 publications

    447 citations

  6. Courant Institute of Mathematical Sciences

    New York, United States

    12 h-index

    14 publications

    2.4K citations

  7. King Abdulaziz University

    Jeddah, Saudi Arabia

    12 h-index

    24 publications

    769 citations

  8. Université Paris Cité

    Paris, France

    11 h-index

    12 publications

    897 citations

1–8 of 778

Venues

  1. Communications in Partial Differential Equations

    42 publications · 2.7K citations

    27

    h-index

  2. Journal of Differential Equations

    43 publications · 2.7K citations

    27

    h-index

  3. Nonlinear Analysis

    41 publications · 2.1K citations

    25

    h-index

  4. Journal of Mathematical Analysis and Applications

    35 publications · 1.8K citations

    23

    h-index

  5. SIAM Journal on Mathematical Analysis

    33 publications · 1.4K citations

    21

    h-index

1–5