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Russian Mathematical Surveys, 1974, Volume 29, Issue 2, Pages 195–212
DOI: https://doi.org/10.1070/RM1974v029n02ABEH003842
(Mi rm4363)
 

This article is cited in 48 scientific papers (total in 49 papers)

Generalized analyticity and some related properties of solutions of elliptic and parabolic equations

E. M. Landis, O. A. Oleinik
References:
Received: 19.12.1973
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Original paper language: Russian
Citation: E. M. Landis, O. A. Oleinik, “Generalized analyticity and some related properties of solutions of elliptic and parabolic equations”, Russian Math. Surveys, 29:2 (1974), 195–212
Citation in format AMSBIB
\Bibitem{LanOle74}
\by E.~M.~Landis, O.~A.~Oleinik
\paper Generalized analyticity and some related properties of solutions of elliptic and parabolic equations
\jour Russian Math. Surveys
\yr 1974
\vol 29
\issue 2
\pages 195--212
\mathnet{http://mi.mathnet.ru/eng/rm4363}
\crossref{https://doi.org/10.1070/RM1974v029n02ABEH003842}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=402268}
\zmath{https://zbmath.org/?q=an:0293.35011}
Linking options:
  • https://www.mathnet.ru/eng/rm4363
  • https://doi.org/10.1070/RM1974v029n02ABEH003842
  • https://www.mathnet.ru/eng/rm/v29/i2/p190
  • This publication is cited in the following 49 articles:
    1. Yiping Zhang, “Approximate two-sphere one-cylinder inequality in parabolic periodic homogenization with suitable lower-order terms”, Annali di Matematica, 2025  crossref
    2. Agnid Banerjee, Abhishek Ghosh, “Decay at infinity for solutions to some fractional parabolic equations”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2024, 1  crossref
    3. A. N. Konenkov, “Localizing the Initial Condition for Solutions of the Cauchy Problem for the Heat Equation”, Comput. Math. and Math. Phys., 64:3 (2024), 480  crossref
    4. Taige Wang, Dihong Xu, “A quantitative strong unique continuation property of a diffusive SIS model”, DCDS-S, 15:6 (2022), 1599  crossref
    5. Gengsheng Wang, Guojie Zheng, “Unique continuation inequalities for the parabolic-elliptic chemotaxis system”, Journal of Differential Equations, 317 (2022), 524  crossref
    6. Luis Escauriaza, Daniel C. Schwarz, Hao Xing, “Radner equilibrium and systems of quadratic BSDEs with discontinuous generators”, Ann. Appl. Probab., 32:5 (2022)  crossref
    7. Yiping Zhang, “Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization”, SIAM J. Math. Anal., 53:5 (2021), 5835  crossref
    8. I. E. Niyozov, “Regularization of a nonstandard Cauchy problem for a dynamic Lame system”, Russian Math. (Iz. VUZ), 64:4 (2020), 44–53  mathnet  crossref  crossref  isi
    9. Agnid Banerjee, Ramesh Manna, “Space like strong unique continuation for sublinear parabolic equations”, J. London Math. Soc., 102:1 (2020), 205  crossref
    10. Vedansh Arya, Agnid Banerjee, “Strong backward uniqueness for sublinear parabolic equations”, Nonlinear Differ. Equ. Appl., 27:6 (2020)  crossref
    11. I. V. Astashova, A. V. Filinovskiy, “Controllability and exact controllability in a problem of heat transfer with convection and time distributed functional”, J. Math. Sci. (N. Y.), 244:2 (2020), 148–157  mathnet  crossref  elib
    12. Elisa Francini, Sergio Vessella, “Carleman estimates for the parabolic transmission problem and Hölder propagation of smallness across an interface”, Journal of Differential Equations, 265:6 (2018), 2375  crossref
    13. Jiuyi Zhu, “Quantitative uniqueness of solutions to parabolic equations”, Journal of Functional Analysis, 275:9 (2018), 2373  crossref
    14. Guojie Zheng, Keqiang Li, Yuanyuan Zhang, “Quantitative unique continuation for the heat equations with inverse square potential”, J Inequal Appl, 2018:1 (2018)  crossref
    15. Irina V. Astashova, Alexey V. Filinovskiy, “On The Dense Controllability for The Parabolic Problem with Time-Distributed Functional”, Tatra Mountains Mathematical Publications, 71:1 (2018), 9  crossref
    16. K. O. Makhmudov, O. I. Makhmudov, N. N. Tarkhanov, “A Nonstandard Cauchy Problem for the Heat Equation”, Math. Notes, 102:2 (2017), 250–260  mathnet  crossref  crossref  mathscinet  isi  elib
    17. Guojie Zheng, Keqiang Li, Jun Li, “Quantitative unique continuation for the linear coupled heat equations”, J Inequal Appl, 2017:1 (2017)  crossref
    18. Luis Escauriaza, Santiago Montaner, Can Zhang, “Analyticity of Solutions to Parabolic Evolutions and Applications”, SIAM J. Math. Anal., 49:5 (2017), 4064  crossref
    19. I. V. Astashova, A. V. Filinovskiy, D. A. Lashin, AIP Conference Proceedings, 1863, 2017, 140004  crossref
    20. S. Vessella, “Quantitative estimates of strong unique continuation for wave equations”, Math. Ann., 367:1-2 (2017), 135  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    References:87
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