Tedeev, Alexander F.; Tedeev, Anatoli F. Large time decay estimates of the solution to the Cauchy problem of doubly degenerate parabolic equations with damping. (English) Zbl 07720911 Vladikavkaz. Mat. Zh. 25, No. 1, 93-104 (2023). MSC: 35B40 35K55 35K65 PDFBibTeX XMLCite \textit{A. F. Tedeev} and \textit{A. F. Tedeev}, Vladikavkaz. Mat. Zh. 25, No. 1, 93--104 (2023; Zbl 07720911) Full Text: DOI MNR
Andreucci, Daniele; Tedeev, Anatoli F. Long time behavior of solutions of degenerate parabolic equations with inhomogeneous density on manifolds. arXiv:1905.10803 Preprint, arXiv:1905.10803 [math.AP] (2019). MSC: 35K55 35K65 35B40 BibTeX Cite \textit{D. Andreucci} and \textit{A. F. Tedeev}, ``Long time behavior of solutions of degenerate parabolic equations with inhomogeneous density on manifolds'', Preprint, arXiv:1905.10803 [math.AP] (2019) Full Text: arXiv OA License
Skrypnik, Igor I.; Tedeev, Anatoli F. Decay of the mass of the solution to the Cauchy problem of the degenerate parabolic equation with nonlinear potential. (English) Zbl 1391.35062 Complex Var. Elliptic Equ. 63, No. 1, 90-115 (2018). MSC: 35B40 35B33 35B45 35K55 35K65 35K59 35K15 PDFBibTeX XMLCite \textit{I. I. Skrypnik} and \textit{A. F. Tedeev}, Complex Var. Elliptic Equ. 63, No. 1, 90--115 (2018; Zbl 1391.35062) Full Text: DOI
Andreucci, Daniele; Tedeev, Anatoli F. Large time behavior for the porous medium equation with convection. (English) Zbl 1382.35037 Meccanica 52, No. 13, 3255-3260 (2017). MSC: 35B40 35K15 35B45 35K59 35K65 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Meccanica 52, No. 13, 3255--3260 (2017; Zbl 1382.35037) Full Text: DOI Link
Andreucci, Daniele; Tedeev, Anatoli F. Optimal decay rate for degenerate parabolic equations on noncompact manifolds. (English) Zbl 1335.35142 Methods Appl. Anal. 22, No. 4, 359-376 (2015). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K65 35K55 35B40 35R01 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Methods Appl. Anal. 22, No. 4, 359--376 (2015; Zbl 1335.35142) Full Text: DOI
Andreucci, Daniele; Tedeev, Anatoli F. The Cauchy-Dirichlet problem for the porous media equation in cone-like domains. (English) Zbl 1295.35076 SIAM J. Math. Anal. 46, No. 2, 1427-1455 (2014). MSC: 35B40 35K65 35K59 35K20 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, SIAM J. Math. Anal. 46, No. 2, 1427--1455 (2014; Zbl 1295.35076) Full Text: DOI
Degtyarev, Sergei P.; Tedeev, Anatolii F. On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations. (English. Russian original) Zbl 1255.35126 J. Math. Sci., New York 181, No. 1, 28-46 (2012); translation from Ukr. Mat. Visn. 8, No. 3, 365-380 (2011). MSC: 35K15 35K65 35K59 PDFBibTeX XMLCite \textit{S. P. Degtyarev} and \textit{A. F. Tedeev}, J. Math. Sci., New York 181, No. 1, 28--46 (2012; Zbl 1255.35126); translation from Ukr. Mat. Visn. 8, No. 3, 365--380 (2011) Full Text: DOI
Tedeev, A. F. Universal bounds for positive solutions of doubly degenerate parabolic equations with a source. (English) Zbl 1265.35143 Acta Math. Univ. Comen., New Ser. 80, No. 2, 229-242 (2011). Reviewer: Josef Diblík (Žilina) MSC: 35K55 35K65 35B33 35B09 PDFBibTeX XMLCite \textit{A. F. Tedeev}, Acta Math. Univ. Comen., New Ser. 80, No. 2, 229--242 (2011; Zbl 1265.35143)
Andreucci, Daniele; Tedeev, Anatoli F. Large time behaviour for degenerate parabolic equations with convection. (English) Zbl 1173.35560 Asymptotic Anal. 60, No. 3-4, 227-247 (2008). MSC: 35K65 35B40 35B33 35K55 35K15 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Asymptotic Anal. 60, No. 3--4, 227--247 (2008; Zbl 1173.35560) Full Text: DOI
Degtyarev, S. P.; Tedeev, A. F. Bounds for solutions of the Cauchy problem for an anisotropic degenerate doubly nonlinear parabolic equation with growing initial data. (English. Russian original) Zbl 1160.35454 Dokl. Math. 76, No. 3, 824-827 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 2, 156-159 (2007). MSC: 35K65 35B45 35K15 35K55 PDFBibTeX XMLCite \textit{S. P. Degtyarev} and \textit{A. F. Tedeev}, Dokl. Math. 76, No. 3, 824--827 (2007; Zbl 1160.35454); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 2, 156--159 (2007) Full Text: DOI
Degtyarev, S. P.; Tedeev, A. F. \(L_1-L_{\infty}\) estimates of solutions of the Cauchy problem for an anisotropic degenerate parabolic equation with double non-linearity and growing initial data. (English) Zbl 1160.35453 Sb. Math. 198, No. 5, 639-660 (2007); translation from Mat. Sb. 198, No. 5, 45-66 (2007). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K65 35K57 35K55 35K15 35B45 35B40 PDFBibTeX XMLCite \textit{S. P. Degtyarev} and \textit{A. F. Tedeev}, Sb. Math. 198, No. 5, 639--660 (2007; Zbl 1160.35453); translation from Mat. Sb. 198, No. 5, 45--66 (2007) Full Text: DOI
Tedeev, A. F. The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations. (English) Zbl 1129.35044 Appl. Anal. 86, No. 6, 755-782 (2007). MSC: 35K65 35B33 35B45 35K55 PDFBibTeX XMLCite \textit{A. F. Tedeev}, Appl. Anal. 86, No. 6, 755--782 (2007; Zbl 1129.35044) Full Text: DOI
Degtyarev, S. P.; Tedeev, A. F. Bilateral estimates for the support of a solution of the Cauchy problem for an anisotropic quasi-linear degenerate equation. (Russian, English) Zbl 1114.35106 Ukr. Mat. Zh. 58, No. 11, 1477-1486 (2006); translation in Ukr. Math. J. 58, No. 11, 1673-1684 (2006). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35K65 35K55 35K15 35B45 PDFBibTeX XMLCite \textit{S. P. Degtyarev} and \textit{A. F. Tedeev}, Ukr. Mat. Zh. 58, No. 11, 1477--1486 (2006; Zbl 1114.35106); translation in Ukr. Math. J. 58, No. 11, 1673--1684 (2006) Full Text: DOI
Tedeev, A. F. Initial-boundary value problems for quasilinear degenerate parabolic equations with damping. The Neumann problem. (Russian, English) Zbl 1098.35092 Ukr. Mat. Zh. 58, No. 2, 272-282 (2006); translation in Ukr. Math. J. 58, No. 2, 304-317 (2006). Reviewer: A. N. Kochubei (Kyïv) MSC: 35K65 35K55 35K60 35B40 PDFBibTeX XMLCite \textit{A. F. Tedeev}, Ukr. Mat. Zh. 58, No. 2, 272--282 (2006; Zbl 1098.35092); translation in Ukr. Math. J. 58, No. 2, 304--317 (2006) Full Text: DOI
Andreucci, Daniele; Tedeev, Anatoli F. Universal bounds at the blow-up time for nonlinear parabolic equations. (English) Zbl 1122.35042 Adv. Differ. Equ. 10, No. 1, 89-120 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K55 35K57 35K65 35B45 35B05 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Adv. Differ. Equ. 10, No. 1, 89--120 (2005; Zbl 1122.35042)
Afanas’eva, N. V.; Tedeev, A. F. Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source. (Ukrainian, English) Zbl 1094.35064 Ukr. Mat. Zh. 57, No. 11, 1443-1464 (2005); translation in Ukr. Math. J. 57, No. 11, 1687-1711 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35K65 35K55 45K05 35K15 PDFBibTeX XMLCite \textit{N. V. Afanas'eva} and \textit{A. F. Tedeev}, Ukr. Mat. Zh. 57, No. 11, 1443--1464 (2005; Zbl 1094.35064); translation in Ukr. Math. J. 57, No. 11, 1687--1711 (2005) Full Text: DOI
Andreucci, D.; Tedeev, A. F.; Ughi, M. The Cauchy problem for degenerate parabolic equations with source and damping. (English) Zbl 1222.35100 Ukr. Mat. Visn. 1, No. 1, 1-19 (2004) and in Ukr. Math. Bull. 1, No. 1, 1-19 (2004). MSC: 35K55 35B40 35B33 35K65 PDFBibTeX XMLCite \textit{D. Andreucci} et al., Ukr. Mat. Visn. 1, No. 1, 1--19 (2004; Zbl 1222.35100)
Andreucci, Daniele; Tedeev, Anatoli F. Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity. (English) Zbl 1002.35059 Interfaces Free Bound. 3, No. 3, 233-264 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35K55 35K65 76D08 35R35 35K25 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Interfaces Free Bound. 3, No. 3, 233--264 (2001; Zbl 1002.35059) Full Text: DOI
Andreucci, Daniele; Tedeev, Anatoli F. Sharp estimates and finite speed of propagation for a Neumann problem in domains narrowing at infinity. (English) Zbl 0987.35090 Adv. Differ. Equ. 5, No. 7-9, 833-860 (2000). Reviewer: Jiaqi Mo (Wuhu) MSC: 35K65 35B05 35K55 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Adv. Differ. Equ. 5, No. 7--9, 833--860 (2000; Zbl 0987.35090)
Andreucci, Daniele; Tedeev, Anatoli F. A Fujita type result for a degenerate Neumann problem in domains with noncompact boundary. (English) Zbl 0920.35079 J. Math. Anal. Appl. 231, No. 2, 543-567 (1999). Reviewer: Dian K.Palagachev (Bari) MSC: 35K60 35B40 35B05 35K65 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, J. Math. Anal. Appl. 231, No. 2, 543--567 (1999; Zbl 0920.35079) Full Text: DOI Link
Andreucci, Daniele; Tedeev, Anatoli F. Optimal bounds and blow up phenomena for parabolic problems in narrowing domains. (English) Zbl 0919.35069 Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 6, 1163-1180 (1998). MSC: 35K65 35B45 35K60 35B40 PDFBibTeX XMLCite \textit{D. Andreucci} and \textit{A. F. Tedeev}, Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 6, 1163--1180 (1998; Zbl 0919.35069) Full Text: DOI
Bonafede, S.; Cirmi, G. R.; Tedeev, A. F. Finite speed of propagation for the porous media equation. (English) Zbl 0915.35057 SIAM J. Math. Anal. 29, No. 6, 1381-1398 (1998). Reviewer: V.N.Grebenev (Novosibirsk) MSC: 35K60 35K65 35B05 PDFBibTeX XMLCite \textit{S. Bonafede} et al., SIAM J. Math. Anal. 29, No. 6, 1381--1398 (1998; Zbl 0915.35057) Full Text: DOI
Tedeev, A. F. Local and global properties of solutions of the Cauchy-Dirichlet problem for a second-order quasilinear parabolic equation in an unbounded domain. (English. Russian original) Zbl 0893.35057 Differ. Equations 32, No. 8, 1075-1082 (1996); translation from Differ. Uravn. 32, No. 8, 1071-1077 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 35K60 35K65 35B45 PDFBibTeX XMLCite \textit{A. F. Tedeev}, Differ. Equations 32, No. 8, 1075--1082 (1996; Zbl 0893.35057); translation from Differ. Uravn. 32, No. 8, 1071--1077 (1996)