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 Uspekhi Mat. Nauk, 1986, Volume 41, Issue 5(251), Pages 59–83 (Mi umn2134)

A survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities

O. A. Ladyzhenskaya, N. N. Ural'tseva

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English version:
Russian Mathematical Surveys, 1986, 41:5, 1–31

Bibliographic databases:

UDC: 517.946
MSC: 35J25, 35K20, 35A20, 34A12, 35A05

Citation: O. A. Ladyzhenskaya, N. N. Ural'tseva, “A survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities”, Uspekhi Mat. Nauk, 41:5(251) (1986), 59–83; Russian Math. Surveys, 41:5 (1986), 1–31

Citation in format AMSBIB
\Bibitem{LadUra86} \by O.~A.~Ladyzhenskaya, N.~N.~Ural'tseva \paper A~survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities \jour Uspekhi Mat. Nauk \yr 1986 \vol 41 \issue 5(251) \pages 59--83 \mathnet{http://mi.mathnet.ru/umn2134} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=878325} \zmath{https://zbmath.org/?q=an:0639.35042} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1986RuMaS..41....1L} \transl \jour Russian Math. Surveys \yr 1986 \vol 41 \issue 5 \pages 1--31 \crossref{https://doi.org/10.1070/RM1986v041n05ABEH003415} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986J565900001} 

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

This publication is cited in the following articles:
1. O. A. Ladyzhenskaya, “On the determination of minimal global attractors for the Navier–Stokes and other partial differential equations”, Russian Math. Surveys, 42:6 (1987), 27–73
2. M. P. Vishnevskii, “On the stabilization of solutions of weakly coupled cooperative parabolic systems”, Russian Acad. Sci. Sb. Math., 77:1 (1994), 177–192
3. D. E. Apushkinskaya, A. I. Nazarov, “The nonstationary venttsel' problem with quadratic growth with respect to the gradient”, Journal of Mathematical Sciences (New York), 80:6 (1996), 2197
4. G. G. Laptev, “An Interpolation Method for Deriving a priori Estimates for Strong Solutions to Second-Order Semilinear Parabolic Equations”, Proc. Steklov Inst. Math., 227 (1999), 173–185
5. Youcef Amirat, Abdelhamid Ziani, “Classical solutions of a parabolic-hyperbolic system modeling a three-dimensional compressible miscible flow in porous media”, Applicable Analysis, 72:1-2 (1999), 155
6. G. A. Seregin, N. N. Ural'tseva, “Ol'ga Aleksandrovna Ladyzhenskaya (on her 80th birthday)”, Russian Math. Surveys, 58:2 (2003), 395–425
7. Lubomira G. Softova, “Quasilinear parabolic operators with discontinuous ingredients”, Nonlinear Analysis: Theory, Methods & Applications, 52:4 (2003), 1079
8. A. I. Nazarov, “Degenerate Venttsel' boundary value problem to elliptic equations”, J. Math. Sci. (N. Y.), 132:3 (2006), 295–303
9. M. V. Borsuk, “Second-order degenerate elliptic boundary value problems in nonsmooth domains”, Journal of Mathematical Sciences, 146:5 (2007), 6071–6212
10. Dian K. Palagachev, Lutz Recke, Lubomira G. Softova, “Applications of the Differential Calculus to Nonlinear Elliptic Operators with Discontinuous Coefficients”, Math Ann, 336:3 (2006), 617
11. E. M. Abbasov, O. A. Dyshin, B. A. Suleimanov, “Application of wavelet transforms to the solution of boundary value problems for linear parabolic equations”, Comput. Math. Math. Phys., 48:2 (2008), 251–268
12. Boyan Sirakov, “Solvability of Uniformly Elliptic Fully Nonlinear PDE”, Arch Rational Mech Anal, 2009
13. Boyan Sirakov, “Some estimates and maximum principles for weakly coupled systems of elliptic PDE”, Nonlinear Analysis: Theory, Methods & Applications, 70:8 (2009), 3039
14. I. G. Tsar'kov, “Stability of Unique Solvability of Quasilinear Equations Given Additional Data”, Math. Notes, 90:6 (2011), 894–919
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