Concepedia

Unique Continuation

Unique Continuation is a mathematical principle in the theory of partial differential equations that asserts that a solution vanishing to infinite order at a point must vanish identically in a connected domain, thereby ensuring that nontrivial solutions cannot have compact support or localize undetected within the domain.

362

Publications

16.4K

Citations

442

Authors

291

Institutions

Publications per year

2017–2026

58

Variants

Unique Continuation Property

Parents

Publications

362

A UNIQUE CONTINUATION THEOREM FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS OR INEQUALITIES OF SECOND ORDER

N. Aronszajn · 1956 · 524 citations

, , +7

Unique Continuation and Absence of Positive Eigenvalues for Schrodinger Operators

David Jerison, Carlos E. Kenig · Annals of Mathematics · 1985 · 444 citations

, , +8

Unique continuation for elliptic operators: A geometric‐variational approach

Nicola Garofalo, Fang‐Hua Lin · Communications on Pure and Applied Mathematics · 1987 · 367 citations

, , +15

Unique continuation for some evolution equations

Jean‐Claude Saut, Bruno Scheurer · Journal of Differential Equations · 1987 · 343 citations

, , +9

Monotonicity properties of variational integrals, ap weights and unique continuation

Nicola Garofalo, Fanghua Lin · Research Padua Archive (University of Padua) · 1986 · 309 citations

, , +14

1–5 of 362

Authors

442

  1. CE
    Carlos E. Kenig

    University of Chicago, United States

    16 publications · 1.3K citations

    14

    h-index

  2. MY
    Masahiro Yamamoto

    The University of Tokyo, Japan

    11 publications · 306 citations

    11

    h-index

  3. LE
    Luis Escauriaza

    University of the Basque Country, Spain

    9 publications · 491 citations

    9

    h-index

  4. JW
    Jenn‐Nan Wang

    National Taiwan University, Taiwan

    9 publications · 189 citations

    9

    h-index

  5. GN
    Gen Nakamura

    Hokkaido University, Japan

    7 publications · 136 citations

    7

    h-index

1–5 of 442

Institutions

291

  1. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    25 publications

    1.3K citations

  2. University of Chicago

    Chicago, United States

    13 h-index

    20 publications

    781 citations

  3. The University of Tokyo

    Tokyo, Japan

    13 h-index

    20 publications

    1.1K citations

  4. National Taiwan University

    Taipei, Taiwan

    10 h-index

    12 publications

    247 citations

  5. Laboratoire Jacques-Louis Lions

    Paris, France

    10 h-index

    12 publications

    332 citations

  6. University of the Basque Country

    Leioa, Spain

    9 h-index

    12 publications

    605 citations

  7. Hokkaido University

    Sapporo, Japan

    7 h-index

    7 publications

    131 citations

  8. University of California, Berkeley

    Berkeley, United States

    7 h-index

    9 publications

    760 citations

1–8 of 291

Venues

  1. Communications in Partial Differential Equations

    30 publications · 1.6K citations

    21

    h-index

  2. Communications on Pure and Applied Mathematics

    11 publications · 1.3K citations

    11

    h-index

  3. 11

    h-index

  4. Duke Mathematical Journal

    DMJ · 12 publications · 1K citations

    11

    h-index

  5. SIAM Journal on Control and Optimization

    10 publications · 432 citations

    10

    h-index

1–5