D. E. Apushkinskaya, N. N. Ural'tseva, H. Shahgholian, “On the Lipschitz property of the free boundary in a parabolic problem with obstacle”, Algebra i Analiz, 15:3 (2003), 78–103; St. Petersburg Math. J., 15:3 (2004), 375

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Algebra i Analiz, 2003, Volume 15, Issue 3, Pages 78–103 (Mi aa794)

This article is cited in 11 scientific papers (total in 11 papers)

Research Papers

On the Lipschitz property of the free boundary in a parabolic problem with obstacle

D. E. Apushkinskaya^a, N. N. Ural'tseva^b, H. Shahgholian^c

^a Saarland University
^b Saint-Petersburg State University
^c Department of Mathematics, Royal Institute of Technology

Full-text PDF (1017 kB) Citations (11)

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Received: 18.02.2003

English version:
St. Petersburg Mathematical Journal, 2004, Volume 15, Issue 3, Pages 375–391
DOI: https://doi.org/10.1090/S1061-0022-04-00813-1

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: D. E. Apushkinskaya, N. N. Ural'tseva, H. Shahgholian, “On the Lipschitz property of the free boundary in a parabolic problem with obstacle”, Algebra i Analiz, 15:3 (2003), 78–103; St. Petersburg Math. J., 15:3 (2004), 375–391

Citation in format AMSBIB

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\paper On the Lipschitz property of the free boundary in a~parabolic problem with obstacle

\jour Algebra i Analiz

\yr 2003

\vol 15

\issue 3

\pages 78--103

\mathnet{http://mi.mathnet.ru/aa794}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2052937}

\zmath{https://zbmath.org/?q=an:1072.35201}

\transl

\jour St. Petersburg Math. J.

\yr 2004

\vol 15

\issue 3

\pages 375--391

\crossref{https://doi.org/10.1090/S1061-0022-04-00813-1}

Linking options:

https://www.mathnet.ru/eng/aa794

https://www.mathnet.ru/eng/aa/v15/i3/p78

This publication is cited in the following 11 articles:

Apushkinskaya D. Repin S., “Functional a Posteriori Error Estimates For the Parabolic Obstacle Problem”, Comput. Methods Appl. Math., 22:2 (2022), 259–276
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+
Sajadini S., “Analysis of Free Boundaries For Convertible Bonds, With a Call Feature”, Complex Var. Elliptic Equ., 59:7 (2014), 912–928
Lindgren E., Monneau R., “Pointwise Estimates for the Heat Equation. Application to the Free Boundary of the Obstacle Problem with Dini Coefficients”, Indiana Univ. Math. J., 62:1 (2013), 171–199
Andersson J., “Boundary regularity for a parabolic obstacle type problem”, Interfaces and Free Boundaries, 12:3 (2010), 279–291
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
Shahgholian H., Uraltseva N., Weiss G.S., “A parabolic two-phase obstacle-like equation”, Adv. Math., 221:3 (2009), 861–881
R. Z. Dautov, A. I. Mikheeva, “Exact penalty operators and regularization of parabolic variational inequalities with an obstacle inside a domain”, Differ. Equ., 44:1 (2008), 77–84
R. Z. Dautov, A. I. Mikheeva, “On the accuracy of the penalty method for parabolic variational inequalities with an obstacle inside the domain”, Russian Math. (Iz. VUZ), 52:2 (2008), 39–45
A. I. Mikheeva, R. Z. Dautov, “Accuracy of the penalty method for parabolic variational inequalities with an obstacle inside the domain”, Russ Math., 52:2 (2008), 39
Petrosyan A., Shahgholian H., “Parabolic obstacle problems applied to finance - A free-boundary-regularity approach”, Recent Developments in Nonlinear Partial Differential Equations, Contemporary Mathematics Series, 439, 2007, 117–133

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

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