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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Hölder space solutions of free boundary problems that arise in combustion theory
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by G. I. Bizhanova
Translated by: A. Plotkin
St. Petersburg Math. J. 27 (2016), 207-235
DOI: https://doi.org/10.1090/spmj/1384
Published electronically: January 29, 2016
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Abstract:

Multidimensional single-phase problems with free boundary are studies for the heat equation with derivative in the direction of the gradient of the unknown function in differential equations on the free boundary. The unique solvability of such problems is established in Hölder spaces for small times, and coercive estimates are obtained for the solutions.
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Bibliographic Information
  • G. I. Bizhanova
  • Affiliation: Institute of Mathematics and Mathematical Modeling, Pushkin str. 125, Almaty, Kazakhstan
  • Email: galina_math@mail.ru
  • Received by editor(s): October 10, 2014
  • Published electronically: January 29, 2016

    • Dedicated: Dedicated to Professor Vsevolod Alekseevich Solonnikov on the occasion of his anniversary
  • © Copyright 2016 American Mathematical Society
  • Journal: St. Petersburg Math. J. 27 (2016), 207-235
  • MSC (2010): Primary 35R35
  • DOI: https://doi.org/10.1090/spmj/1384
  • MathSciNet review: 3444461