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Algebra i Analiz, 2002, Volume 14, Issue 1, Pages 3–25 (Mi aa831)  

This article is cited in 8 scientific papers (total in 8 papers)

Research Papers

On the global solutions of the parabolic obstacle problem

D. E. Apushkinskayaa, N. N. Ural'tsevab, H. Shahgholianc

a Saarland University
b St. Petersburg State University, Department of Mathematics and Mechanics
c Department of Mathematics, Royal Institute of Technology

Full text: PDF file (880 kB)

English version:
St. Petersburg Mathematical Journal, 2003, 14:1, 1–17

Bibliographic databases:
Received: 20.09.2001

Citation: D. E. Apushkinskaya, N. N. Ural'tseva, H. Shahgholian, “On the global solutions of the parabolic obstacle problem”, Algebra i Analiz, 14:1 (2002), 3–25; St. Petersburg Math. J., 14:1 (2003), 1–17

Citation in format AMSBIB
\Bibitem{ApuUraSha02}
\by D.~E.~Apushkinskaya, N.~N.~Ural'tseva, H.~Shahgholian
\paper On the global solutions of the parabolic obstacle problem
\jour Algebra i Analiz
\yr 2002
\vol 14
\issue 1
\pages 3--25
\mathnet{http://mi.mathnet.ru/aa831}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1893318}
\zmath{https://zbmath.org/?q=an:1036.35111}
\transl
\jour St. Petersburg Math. J.
\yr 2003
\vol 14
\issue 1
\pages 1--17


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. D. E. Apushkinskaya, N. N. Ural'tseva, H. Shahgholian, “On the Lipschitz property of the free boundary in a parabolic problem with obstacle”, St. Petersburg Math. J., 15:3 (2004), 375–391  mathnet  crossref  mathscinet  zmath
    2. O. V. Solonukha, “On a non-linear parabolic problem with an obstacle”, Russian Math. Surveys, 59:3 (2004), 591–592  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. Matevosyan N., Markowich P. A., “Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations”, Monatsh. Math., 142:1-2 (2004), 17–25  crossref  mathscinet  zmath  isi  scopus
    4. Aharonov D., “Open problems related to quadrature domains”, Quadrature Domains and Their Applications: The Harold S. Shapiro Anniversary Volume, Operator Theory : Advances and Applications, 156, 2005, XI–XXVIII  mathscinet  zmath  isi
    5. Apushkinskaya D. E., Matevosyan N., Uraltseva N. N., “The behavior of the free boundary close to a fixed boundary in a parabolic problem”, Indiana Univ. Math. J., 58:2 (2009), 583–604  crossref  mathscinet  zmath  isi  elib  scopus
    6. Choi S., “Regularity near a contact point for flame propagation”, Comm. Partial Differential Equations, 34:5 (2009), 457  crossref  mathscinet  zmath  isi  elib  scopus
    7. Ildefonso Diaz J. Mingazzini T., “Free Boundaries Touching the Boundary of the Domain For Some Reaction-Diffusion Problems”, Nonlinear Anal.-Theory Methods Appl., 119 (2015), 275–294  crossref  mathscinet  zmath  isi  scopus
    8. Apushkinskaya D., “Free Boundary Problems Regularity Properties Near the Fixed Boundary Preface”: Apushkinskaya, D, Free Boundary Problems: Regularity Properties Near the Fixed Boundary, Lect. Notes Math., Lecture Notes in Mathematics, 2218, Springer International Publishing Ag, 2018, V+  mathscinet  isi
  • Алгебра и анализ St. Petersburg Mathematical Journal
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