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Evolution differential equations in Fréchet sequence spaces

Volume 143 / 2016

Oleg Zubelevich Colloquium Mathematicum 143 (2016), 251-264 MSC: 58D25, 34G20. DOI: 10.4064/cm6710-1-2016 Published online: 15 January 2016

Abstract

We consider evolution differential equations in Fréchet spaces with unconditional Schauder basis, and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE are also considered.

Authors

  • Oleg ZubelevichDepartment of Theoretical Mechanics
    Mechanics and Mathematics Faculty
    M. V. Lomonosov Moscow State University
    Vorob’evy gory
    119899, Moscow, Russia
    e-mail

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