Concepedia

Nonexistence Proofs

Nonexistence Proofs is a proof technique in mathematical logic that belongs to the broader class of deductive proofs, distinguished by its aim to establish the impossibility of a proposition or object by demonstrating that its existence would lead to a contradiction.

38

Publications

2.3K

Citations

61

Authors

45

Institutions

Publications per year

2017–2026

1

Variants

Non-existence Proofs

Parents

Publications

38

Character sums and difference sets

R. Turyn · Pacific Journal of Mathematics · 1965 · 315 citations · Full text

, , +11

Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time

Howard A. Levine, L. E. Payne · Journal of Differential Equations · 1974 · 240 citations

, , +17

Ends of maps. III. Dimensions 4 and 5

Frank Quinn · Journal of Differential Geometry · 1982 · 217 citations · Full text

, , +11

Instability, uniqueness, and nonexistence theorems for the equation ut=uxx−uxtx on a strip

Bernard D. Coleman, R. J. Duffin, Victor J. Mizel · Archive for Rational Mechanics and Analysis · 1965 · 170 citations

, , +14

Nonexistence theorems for singular solutions of quasilinear partial differential equations

Wei‐Ming Ni, James Serrin · Communications on Pure and Applied Mathematics · 1986 · 148 citations

, , +14

1–5 of 38

Authors

61

  1. HA
    Howard A. Levine

    Iowa State University, United States

    4 publications · 433 citations

    4

    h-index

  2. JS
    James Serrin

    University of Minnesota, United States

    2 publications · 219 citations

    2

    h-index

  3. AM
    Akihiro Munemasa

    Tohoku University, Japan

    1 publications · 45 citations

    1

    h-index

  4. AH
    Aarne H. Sipilä

    1 publications · 10 citations

    1

    h-index

  5. JL
    J. L. Ericksen

    Johns Hopkins University, United States

    1 publications · 16 citations

    1

    h-index

1–5 of 61

Institutions

45

  1. University of Minnesota

    Minneapolis, United States

    2 h-index

    5 publications

    509 citations

  2. Iowa State University

    Ames, United States

    2 h-index

    5 publications

    417 citations

  3. Eindhoven University of Technology

    Eindhoven, The Netherlands

    1 h-index

    1 publications

    55 citations

  4. University of Trieste

    Trieste, Italy

    1 h-index

    1 publications

    117 citations

  5. The University of Western Australia

    Perth, Australia

    1 h-index

    2 publications

    142 citations

  6. University of Warwick

    Coventry, United Kingdom

    1 h-index

    1 publications

    36 citations

  7. Universidade Federal do Rio de Janeiro

    Rio de Janeiro, Brazil

    1 h-index

    1 publications

    10 citations

  8. Kyushu University

    Fukuoka, Japan

    1 h-index

    1 publications

    45 citations

1–8 of 45

Venues

  1. Journal of Differential Equations

    5 publications · 467 citations

    5

    h-index

  2. 2

    h-index

  3. Indiana University Mathematics Journal

    IUMJ · 2 publications · 75 citations

    2

    h-index

  4. Information and Control

    2 publications · 68 citations

    2

    h-index

  5. Pacific Journal of Mathematics

    1 publications · 315 citations

    1

    h-index

1–5