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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 250–259 (Mi tm3397)  
This article is cited in 5 scientific papers (total in 5 papers)

On improved estimates for parabolic equations with double degeneracy

M. D. Surnachev

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (185 kB) Citations (5)
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Abstract: We obtain improved pointwise estimates for solutions to nonlinear parabolic equations with double degeneracy. These estimates differ from the classical estimates known for the linear case in that the supremum of the modulus of a solution is estimated by the sum of two powers of the integral norm of the solution.
Received in February 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 278, Pages 241–250
DOI: https://doi.org/10.1134/S0081543812060235
Bibliographic databases:
Document Type: Article
UDC: 917.956.4
Language: Russian
Citation: M. D. Surnachev, “On improved estimates for parabolic equations with double degeneracy”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 250–259; Proc. Steklov Inst. Math., 278 (2012), 241–250
Citation in format AMSBIB
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\bookinfo Collected papers
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\pages 250--259
\publ MAIK Nauka/Interperiodica
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  • https://www.mathnet.ru/eng/tm3397
  • https://www.mathnet.ru/eng/tm/v278/p250
    • This publication is cited in the following 5 articles:
    1. Hoang L., Thinh Kieu, “Global Estimates For Generalized Forchheimer Flows of Slightly Compressible Fluids”, J. Anal. Math., 137:1 (2019), 1–55  crossref  mathscinet  isi
    2. E. Celik, L. Hoang, T. Kieu, “Generalized Forchheimer flows of isentropic gases”, J. Math. Fluid Mech., 20:1 (2018), 83–115  crossref  mathscinet  zmath  isi  scopus
    3. E. Celik, L. Hoang, T. Kieu, “Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media”, Nonlinearity, 31:8 (2018), 3617–3650  crossref  mathscinet  zmath  isi
    4. E. Celik, L. Hoang, “Maximum estimates for generalized Forchheimer flows in heterogeneous porous media”, J. Differ. Equ., 262:3, 2 (2017), 2158–2195  crossref  mathscinet  zmath  isi  scopus
    5. M. D. Surnachev, “Improved Estimates for Parabolic p-Laplace Type Equations”, J Math Sci, 210:4 (2015), 429  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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