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Russian Mathematical Surveys, 1987, Volume 42, Issue 2, Pages 169–222
DOI: https://doi.org/10.1070/RM1987v042n02ABEH001309
(Mi rm2426)
 

This article is cited in 282 scientific papers (total in 283 papers)

Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations

A. S. Kalashnikov
References:
Received: 09.09.1986
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: English
Original paper language: Russian
Citation: A. S. Kalashnikov, “Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations”, Russian Math. Surveys, 42:2 (1987), 169–222
Citation in format AMSBIB
\Bibitem{Kal87}
\by A.~S.~Kalashnikov
\paper Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
\jour Russian Math. Surveys
\yr 1987
\vol 42
\issue 2
\pages 169--222
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\crossref{https://doi.org/10.1070/RM1987v042n02ABEH001309}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=898624}
\zmath{https://zbmath.org/?q=an:0642.35047}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1987RuMaS..42..169K}
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Linking options:
  • https://www.mathnet.ru/eng/rm2426
  • https://doi.org/10.1070/RM1987v042n02ABEH001309
  • https://www.mathnet.ru/eng/rm/v42/i2/p135
  • This publication is cited in the following 283 articles:
    1. A. El Hachimi, S. Maatouk, “Global Attractor for a Doubly Nonlinear Parabolic Problem with a Nonlinear Boundary Condition”, Results Math, 80:1 (2025)  crossref
    2. Anna Michalak, “Fixed-time stability for parabolic PDE”, European Journal of Control, 83 (2025), 101218  crossref
    3. Habeeb A. Aal-Rkhais, Ruba H. Qasim, “Asymptotic behaviour for a parabolic p-Laplacian equation with an advection force”, J. Phys.: Conf. Ser., 2701:1 (2024), 012120  crossref
    4. Kristian Moring, Leah Schätzler, Christoph Scheven, “Higher integrability for singular doubly nonlinear systems”, Annali di Matematica, 2024  crossref
    5. Zafar Rakhmonov, Akram Alimov, Jasur Urunbaev, INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2022), 3085, INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2022), 2024, 020032  crossref
    6. Iwona Chlebicka, Nikita Simonov, “Functional inequalities and applications to doubly nonlinear diffusion equations”, Advances in Calculus of Variations, 17:2 (2024), 467  crossref
    7. Habeeb Abed Kadhim Aal-Rkhais, INTERNATIONAL WORKSHOP ON MACHINE LEARNING AND QUANTUM COMPUTING APPLICATIONS IN MEDICINE AND PHYSICS: WMLQ2022, 3061, INTERNATIONAL WORKSHOP ON MACHINE LEARNING AND QUANTUM COMPUTING APPLICATIONS IN MEDICINE AND PHYSICS: WMLQ2022, 2024, 040012  crossref
    8. Stefan M. Schmalholz, Lyudmila Khakimova, Yury Podladchikov, Erwan Bras, Philippe Yamato, Timm John, “(De)hydration Front Propagation Into Zero‐Permeability Rock”, Geochem Geophys Geosyst, 25:9 (2024)  crossref
    9. Pêdra D. S. Andrade, João Vitor da Silva, Giane C. Rampasso, Makson S. Santos, “Sharp Regularity Estimates for a Singular Inhomogeneous (m, p)-Laplacian Equation”, Potential Anal, 2024  crossref
    10. Roqia Abdullah Jeli, “Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems”, Demonstratio Mathematica, 57:1 (2024)  crossref
    11. A. A. Alimov, Z. R. Rakhmonov, “Global and blow-up solutions for a nonlinear diffusion system with a source and nonlinear boundary conditions”, Vestnik KRAUNTs. Fiz.-mat. nauki, 43:2 (2023), 9–19  mathnet  crossref
    12. Uğur SERT, “Existence for a Nonlocal Porous Medium Equations of Kirchhoff Type with Logarithmic Nonlinearity”, Turkish Journal of Mathematics and Computer Science, 15:2 (2023), 247  crossref
    13. Phillipo Lappicy, Ester Beatriz, “An energy formula for fully nonlinear degenerate parabolic equations in one spatial dimension”, Math. Ann., 2023  crossref
    14. Ugur G. Abdulla, Amna Abu Weden, “Interface development for the nonlinear degenerate multidimensional reaction–diffusion equations II: fast diffusion versus absorption”, Nonlinear Differ. Equ. Appl., 30:3 (2023)  crossref
    15. Yue Pang, Vicenţiu D. Rădulescu, Run Zhang Xu, “Global Existence and Finite Time Blow-up for the m-Laplacian Parabolic Problem”, Acta. Math. Sin.-English Ser., 39:8 (2023), 1497  crossref
    16. O. L. Boziev, “Apriornye otsenki proizvodnykh reshenii odnomernykh neodnorodnykh uravnenii teploprovodnosti s integralnoi nagruzkoi v glavnoi chasti”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 15:2 (2023), 5–13  mathnet  crossref
    17. Ivan C. Christov, Isanka Garli Hevage, Akif Ibraguimov, Rahnuma Islam, “Nonlinear Einstein paradigm of Brownian motion and localization property of solutions”, Math Methods in App Sciences, 46:12 (2023), 12895  crossref
    18. L. F. Dzagoeva, A. F. Tedeev, “Asymptotic behavior of the solution of doubly degenerate parabolic equations with inhomogeneous density”, Vladikavk. matem. zhurn., 24:3 (2022), 78–86  mathnet  crossref  mathscinet
    19. Ismail Kömbe, Reyhan Tellioğlu Balekoğlu, “Doubly nonlinear parabolic equations with Robin boundary conditions”, Math Methods in App Sciences, 45:16 (2022), 9386  crossref
    20. Vincenzo Vespri, Matias Vestberg, “An extensive study of the regularity of solutions to doubly singular equations”, Advances in Calculus of Variations, 15:3 (2022), 435  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
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