Concepedia

P-adic Differential Equations

P-Adic Differential Equations is a mathematical framework that studies differential equations over p-adic fields, distinguished by its incorporation of non-Archimedean valuation structures and ultrametric analysis within the theory of linear or nonlinear differential operators.

252

Publications

8.3K

Citations

219

Authors

165

Institutions

Publications per year

2017–2026

24

Parents

Publications

252

On p-adic mathematical physics

Andrei Yu. Khrennikov · P-Adic Numbers Ultrametric Analysis and Applications · 2009 · 297 citations · Full text

, , +6

Exact solution of linear equations usingP-adic expansions

Numerische Mathematik · 1982 · 202 citations

, , +7

Algebraic solutions of differential equations (p-curvature and the Hodge filtration)

Nicholas M. Katz · Inventiones mathematicae · 1972 · 197 citations

, , +8

Nonlinear Dynamics Equation in p-Adic String Theory

V. S. Vladimirov, Ya. I. Volovich · Theoretical and Mathematical Physics · 2004 · 176 citations · Full text

, , +12

A p-adic local monodromy theorem

Kiran S. Kedlaya · Annals of Mathematics · 2004 · 163 citations · Full text

, , +10

1–5 of 252

Authors

219

  1. WA
    W. A. Zúñiga‐Galindo

    Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico

    13 publications · 387 citations

    13

    h-index

  2. AY
    Andrei Yu. Khrennikov

    Växjö Kommun, Sweden

    14 publications · 729 citations

    13

    h-index

  3. VM
    V. M. Shelkovich

    Saint Petersburg State University of Architecture and Civil Engineering, Russia

    8 publications · 334 citations

    9

    h-index

  4. SA
    Sergio Albeverio

    University of Bonn, Germany

    6 publications · 200 citations

    8

    h-index

  5. AK
    Andrei Khrennikov

    Växjö Kommun, Sweden

    8 publications · 192 citations

    8

    h-index

1–5 of 219

Institutions

165

  1. Linnaeus University

    Vaxjo, Sweden

    13 h-index

    18 publications

    590 citations

  2. Steklov Mathematical Institute

    Moscow, Russia

    11 h-index

    13 publications

    988 citations

  3. Växjö Kommun

    Vaxjo, Sweden

    11 h-index

    12 publications

    667 citations

  4. Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

    Mexico City, Mexico

    9 h-index

    11 publications

    203 citations

  5. Saint Petersburg State University of Architecture and Civil Engineering

    Saint Petersburg, Russia

    8 h-index

    7 publications

    309 citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    8 publications

    475 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    11 publications

    409 citations

  8. University of Bonn

    Bonn, Germany

    7 h-index

    5 publications

    182 citations

1–8 of 165

Venues

  1. 15

    h-index

  2. Journal of Number Theory

    13 publications · 310 citations

    12

    h-index

  3. Theoretical and Mathematical Physics

    11 publications · 456 citations

    10

    h-index

  4. Compositio Mathematica

    6 publications · 186 citations

    9

    h-index

  5. 8

    h-index

1–5