Abstract:
Optimal regularity near the initial state is established for weak solutions of the two-phase parabolic obstacle problem. The approach is sufficiently general to allow the initial data to belong to the class C1,1.
Citation:
D. E. Apushkinskaya, N. N. Uraltseva, “Uniform estimates near the initial state for solutions of the two-phase parabolic problem”, Algebra i Analiz, 25:2 (2013), 63–74; St. Petersburg Math. J., 25:2 (2014), 195–203
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\by D.~E.~Apushkinskaya, N.~N.~Uraltseva
\paper Uniform estimates near the initial state for solutions of the two-phase parabolic problem
\jour Algebra i Analiz
\yr 2013
\vol 25
\issue 2
\pages 63--74
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\transl
\jour St. Petersburg Math. J.
\yr 2014
\vol 25
\issue 2
\pages 195--203
\crossref{https://doi.org/10.1090/S1061-0022-2014-01285-X}
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Linking options:
https://www.mathnet.ru/eng/aa1323
https://www.mathnet.ru/eng/aa/v25/i2/p63
This publication is cited in the following 5 articles:
D. E. Apushkinskaya, A. A. Arkhipova, V. M. Babich, G. S. Weiss, I. A. Ibragimov, S. V. Kislyakov, N. V. Krylov, A. A. Laptev, A. I. Nazarov, G. A. Seregin, T. A. Suslina, H. Shahgholian, “On the 90th birthday of Nina Nikolaevna Uraltseva”, Russian Math. Surveys, 79:6 (2024), 1119–1131
D. Apushkinskaya, Free boundary problems. Regularity properties near the fixed boundary, Lect. Notes Math., 2218, Springer, Cham, 2018, xvii+146 pp.
Curran M., Gurevich P., Tikhomirov S., “Recent Advances in Reaction-Diffusion Equations with Non-ideal Relays”, Control of Self-Organizing Nonlinear Systems, Understanding Complex Systems, eds. Scholl E., Klapp SH., Hovel P., Springer-Verlag Berlin, 2016, 211–234
J. I. Díaz, T. Mingazzini, “Free boundaries touching the boundary of the domain for some reaction-diffusion problems”, Nonlinear Anal., 119 (2015), 275–294
D. E. Apushkinskaya, N. N. Uraltseva, “On regularity properties of solutions to the hysteresis-type problem”, Interface Free Bound., 17:1 (2015), 93–115
Citation in format AMSBIB
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