Concepedia

Continuous Dependence On Initial Data

Continuous Dependence On Initial Data is a property of a dynamical system or evolution equation wherein small perturbations in the initial conditions lead to correspondingly small changes in the solution over time, ensuring the solution's behavior varies continuously with respect to the initial data.

537

Publications

22.7K

Citations

722

Authors

459

Institutions

Publications per year

2017–2026

110

Variants

Continuous Dependence On Initial Conditions

Parents

Publications

537

A bilinear estimate with applications to the KdV equation

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Journal of the American Mathematical Society · 1996 · 864 citations · Full text

, , +15

Stable determination of conductivity by boundary measurements

Giovanni Alessandrini · Applicable Analysis · 1988 · 533 citations

, , +12

GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION

Alberto Bressan, Adrian Constantin · Analysis and Applications · 2006 · 528 citations

, , +16

Vanishing viscosity solutions of nonlinear hyperbolic systems

Stefano Bianchini, Alberto Bressan · Annals of Mathematics · 2005 · 474 citations · Full text

, , +16

Sensitive dependence to initial conditions for one dimensional maps

John Guckenheimer · Communications in Mathematical Physics · 1979 · 434 citations

, , +14

1–5 of 537

Authors

722

  1. LE
    L. E. Payne

    Cornell University, United States

    16 publications · 472 citations

    13

    h-index

  2. RQ
    R. Quintanilla

    Universitat Politècnica de Catalunya, Spain

    11 publications · 496 citations

    11

    h-index

  3. AB
    Abdelfatah Bouziani

    Larbi Ben M'hidi University of Oum El Bouaghi, Algeria

    11 publications · 299 citations

    10

    h-index

  4. BS
    Brian Straughan

    Durham University, United Kingdom

    9 publications · 307 citations

    9

    h-index

  5. KA
    Karen A. Ames

    University of Alabama in Huntsville, United States

    7 publications · 141 citations

    7

    h-index

1–5 of 722

Institutions

459

  1. Cornell University

    Ithaca, United States

    12 h-index

    14 publications

    433 citations

  2. Pennsylvania State University

    State College, United States

    9 h-index

    9 publications

    1.2K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    9 publications

    219 citations

  4. Universitat Politècnica de Catalunya

    Barcelona, Spain

    8 h-index

    8 publications

    321 citations

  5. University of Milan

    Milan, Italy

    7 h-index

    7 publications

    259 citations

  6. Rutgers, The State University of New Jersey

    New Brunswick, United States

    7 h-index

    7 publications

    747 citations

  7. Scuola Internazionale Superiore di Studi Avanzati

    Trieste, Italy

    7 h-index

    7 publications

    712 citations

  8. Larbi Ben M'hidi University of Oum El Bouaghi

    Oum el Bouaghi, Algeria

    7 h-index

    7 publications

    178 citations

1–8 of 459

Venues

  1. SIAM Journal on Mathematical Analysis

    25 publications · 1.7K citations

    21

    h-index

  2. Differential and Integral Equations

    18 publications · 693 citations

    14

    h-index

  3. Journal of Differential Equations

    20 publications · 619 citations

    14

    h-index

  4. 14

    h-index

  5. Mathematical Methods in the Applied Sciences

    18 publications · 471 citations

    13

    h-index

1–5