Álvarez-Caudevilla, Pablo; Galaktionov, Victor A. Steady states, global existence and blow-up for fourth-order semilinear parabolic equations of Cahn-Hilliard type. (English) Zbl 1280.35067 Adv. Nonlinear Stud. 12, No. 2, 315-361 (2012). MSC: 35K58 35K35 35B44 PDFBibTeX XMLCite \textit{P. Álvarez-Caudevilla} and \textit{V. A. Galaktionov}, Adv. Nonlinear Stud. 12, No. 2, 315--361 (2012; Zbl 1280.35067) Full Text: DOI arXiv
Galaktionov, V. A.; Maz’ya, V. Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion. (English. Russian original) Zbl 1286.35123 J. Math. Sci., New York 175, No. 3, 249-283 (2011); translation from Probl. Mat. Anal. 56, 35-62 (2011). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35K20 35K58 35B65 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{V. Maz'ya}, J. Math. Sci., New York 175, No. 3, 249--283 (2011; Zbl 1286.35123); translation from Probl. Mat. Anal. 56, 35--62 (2011) Full Text: DOI arXiv
Vidyakin, V. V.; Volkov, V. M.; Voronkov, D. N.; Galaktionov, V. A.; Klevchenya, A. A.; Shevchenko, D. E. About numerical simulation of the oil extraction process. (Russian, English) Zbl 1228.76174 Mat. Model. 23, No. 1, 19-28 (2011); translation in Math. Models Comput. Simul. 3, No. 4, 424-429 (2011). MSC: 76S05 65M06 76M20 PDFBibTeX XMLCite \textit{V. V. Vidyakin} et al., Mat. Model. 23, No. 1, 19--28 (2011; Zbl 1228.76174); translation in Math. Models Comput. Simul. 3, No. 4, 424--429 (2011) Full Text: DOI
Evans, J. D.; Galaktionov, V. A. On continuous branches of very singular similarity solutions of the stable thin film equation. II: Free-boundary problems. (English) Zbl 1227.35148 Eur. J. Appl. Math. 22, No. 3, 245-265 (2011). MSC: 35K30 35K65 35R35 76A20 35B40 35B32 35K59 35B33 PDFBibTeX XMLCite \textit{J. D. Evans} and \textit{V. A. Galaktionov}, Eur. J. Appl. Math. 22, No. 3, 245--265 (2011; Zbl 1227.35148) Full Text: DOI
Galaktionov, V. A.; Kamotski, I. V. On nonexistence of Baras-Goldstein type for higher-order parabolic equations with singular potentials. (English) Zbl 1211.35161 Trans. Am. Math. Soc. 362, No. 8, 4117-4136 (2010). MSC: 35K67 35K35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{I. V. Kamotski}, Trans. Am. Math. Soc. 362, No. 8, 4117--4136 (2010; Zbl 1211.35161) Full Text: DOI arXiv
Galaktionov, V. A. On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach. (English) Zbl 1219.35123 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 5, 597-655 (2009). Reviewer: Andrey E. Shishkov (Donetsk) MSC: 35K35 35K25 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 5, 597--655 (2009; Zbl 1219.35123) Full Text: DOI arXiv
Galaktionov, V. A. On \(\sqrt{\log\log}\) blow-up in higher-order reaction-diffusion and wave equations: A formal “geometric” approach. (English) Zbl 1178.35082 Physica D 238, No. 17, 1717-1734 (2009). MSC: 35B44 35Q55 35K55 35K35 35L35 35L70 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Physica D 238, No. 17, 1717--1734 (2009; Zbl 1178.35082) Full Text: DOI
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. (English) Zbl 1176.35094 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2930-2952 (2009). Reviewer: Chiu Yeung Chan (Lafayette) MSC: 35K55 35B35 35K30 35K35 35B45 35Q30 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2930--2952 (2009; Zbl 1176.35094) Full Text: DOI arXiv
Galaktionov, Victor A. The formation of shocks and fundamental solution of a fourth-order quasilinear Boussinesq-type equation. (English) Zbl 1169.35361 Nonlinearity 22, No. 2, 239-257 (2009). MSC: 35L75 35L67 35Q35 35B40 35L35 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Nonlinearity 22, No. 2, 239--257 (2009; Zbl 1169.35361) Full Text: DOI
Galaktionov, V. A. Three types of self-similar blow-up for the fourth-order \(p\)-Laplacian equation with source. (English) Zbl 1207.35196 J. Comput. Appl. Math. 223, No. 1, 326-355 (2009). MSC: 35K65 35K55 35K35 35B05 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, J. Comput. Appl. Math. 223, No. 1, 326--355 (2009; Zbl 1207.35196) Full Text: DOI
Galaktionov, V. A. On nonexistence of Baras-Goldstein type without positivity assumptions for singular linear and nonlinear parabolic equations. (English) Zbl 1233.35116 Proc. Steklov Inst. Math. 260, 123-143 (2008) and Tr. Mat. Inst. Steklova 260 (2008). MSC: 35K55 35B40 35K20 35K35 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Proc. Steklov Inst. Math. 260, 123--143 (2008; Zbl 1233.35116) Full Text: DOI
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. (English. Russian original) Zbl 1152.35101 Dokl. Math. 77, No. 2, 238-242 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 4, 439-442 (2008). MSC: 35Q53 35B45 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Dokl. Math. 77, No. 2, 238--242 (2008; Zbl 1152.35101); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 4, 439--442 (2008) Full Text: DOI
Galaktionov, V. A.; Pokhozhaev, S. I. On the absence of global solutions of nonlinear mixed problems. (English. Russian original) Zbl 1511.35048 J. Math. Sci., New York 143, No. 4, 3226-3238 (2007); translation from Tr. Semin. Im. I. G. Petrovskogo 26, 71-89 (2007). MSC: 35B44 35A01 35G30 35K55 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{S. I. Pokhozhaev}, J. Math. Sci., New York 143, No. 4, 3226--3238 (2007; Zbl 1511.35048); translation from Tr. Semin. Im. I. G. Petrovskogo 26, 71--89 (2007) Full Text: DOI
Galaktionov, V. A.; Pohozaev, S. I. Blowup for nonlinear initial-boundary value problems. (English. Russian original) Zbl 1327.35163 Dokl. Math. 75, No. 1, 76-79 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 4, 444-447 (2007). MSC: 35K55 35K35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{S. I. Pohozaev}, Dokl. Math. 75, No. 1, 76--79 (2007; Zbl 1327.35163); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 4, 444--447 (2007) Full Text: DOI
Evans, J. D.; Galaktionov, V. A.; Williams, J. F. Blow-up and global asymptotics of the limit unstable Cahn-Hilliard equation. (English) Zbl 1110.35023 SIAM J. Math. Anal. 38, No. 1, 64-102 (2006). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35K55 35K35 35B40 PDFBibTeX XMLCite \textit{J. D. Evans} et al., SIAM J. Math. Anal. 38, No. 1, 64--102 (2006; Zbl 1110.35023) Full Text: DOI
Galaktionov, V. A.; Shishkov, A. E. Self-similar boundary blow-up for higher-order quasilinear parabolic equations. (English) Zbl 1099.35016 Proc. R. Soc. Edinb., Sect. A, Math. 135, No. 6, 1195-1227 (2005). Reviewer: Chiu Yeung Chan (Lafayette) MSC: 35B40 35K55 35K35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. E. Shishkov}, Proc. R. Soc. Edinb., Sect. A, Math. 135, No. 6, 1195--1227 (2005; Zbl 1099.35016) Full Text: DOI
Galaktionov, Victor A.; Harwin, Petra J. Sturm’s theorem on zero sets in nonlinear parabolic equations. (English) Zbl 1094.35019 Amrein, Werner O. (ed.) et al., Sturm-Liouville theory. Past and present. Selected survey articles based on lectures presented at a colloquium and workshop in Geneva, Italy, September 15–19, 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. Basel: Birkhäuser (ISBN 3-7643-7066-1). 173-199 (2005). Reviewer: Peter Poláčik (Minneapolis) MSC: 35B05 35K20 35K55 35B50 35B40 35-02 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{P. J. Harwin}, in: Sturm-Liouville theory. Past and present. Selected survey articles based on lectures presented at a colloquium and workshop in Geneva, Italy, September 15--19, 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. Basel: Birkhäuser. 173--199 (2005; Zbl 1094.35019)
Galaktionov, V. A.; Shishkov, A. E. Structure of boundary blow up for higher-order quasilinear parabolic equations. (English) Zbl 1078.35043 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2051, 3299-3325 (2004). Reviewer: Marek Fila (Bratislava) MSC: 35K35 35K55 35A21 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. E. Shishkov}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2051, 3299--3325 (2004; Zbl 1078.35043) Full Text: DOI
Galaktionov, V. A. On higher-order semilinear parabolic equations with measures as initial data. (English) Zbl 1131.35346 J. Eur. Math. Soc. (JEMS) 6, No. 2, 193-205 (2004). MSC: 35K55 35K65 35K30 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, J. Eur. Math. Soc. (JEMS) 6, No. 2, 193--205 (2004; Zbl 1131.35346) Full Text: DOI Link
Galaktionov, V. A. Evolution completeness of separable solutions of nonlinear diffusion equations in bounded domains. (English) Zbl 1065.35157 Math. Methods Appl. Sci. 27, No. 15, 1755-1770 (2004). MSC: 35K65 35K55 35B40 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Math. Methods Appl. Sci. 27, No. 15, 1755--1770 (2004; Zbl 1065.35157) Full Text: DOI
Galaktionov, V. A.; Williams, J. F. Blow-up in a fourth-order semilinear parabolic equation from explosion-convection theory. (English) Zbl 1052.35075 Eur. J. Appl. Math. 14, No. 6, 745-764 (2003). MSC: 35K35 35K55 35B40 80A25 35B05 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{J. F. Williams}, Eur. J. Appl. Math. 14, No. 6, 745--764 (2003; Zbl 1052.35075) Full Text: DOI
Galaktionov, V. A.; Shishkov, A. E. Saint-Venant’s principle in blow-up for higher-order quasilinear parabolic equations. (English) Zbl 1064.35068 Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 5, 1075-1119 (2003). MSC: 35K35 35B40 35K55 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. E. Shishkov}, Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 5, 1075--1119 (2003; Zbl 1064.35068) Full Text: DOI
Galaktionov, Victor A.; King, John R. Fast diffusion equation with critical Sobolev exponent in a ball. (English) Zbl 0988.35088 Nonlinearity 15, No. 1, 173-188 (2002). Reviewer: Dian K.Palagachev (Bari) MSC: 35K60 35B05 35B40 35K57 35B33 35K65 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{J. R. King}, Nonlinearity 15, No. 1, 173--188 (2002; Zbl 0988.35088) Full Text: DOI Link
Chaves, M.; Galaktionov, Victor A. Minimal blow-up asymptotics of quasilinear heat equations. (English) Zbl 1002.35021 Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 6, 1297-1321 (2001). Reviewer: Gary M.Lieberman (Ames) MSC: 35B40 35K55 35K60 PDFBibTeX XMLCite \textit{M. Chaves} and \textit{V. A. Galaktionov}, Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 6, 1297--1321 (2001; Zbl 1002.35021) Full Text: DOI
Galaktionov, Victor A.; Gerbi, Stéphane; Vazquez, Juan L. Quenching for a one-dimensional fully nonlinear parabolic equation in detonation theory. (English) Zbl 0982.35008 SIAM J. Appl. Math. 61, No. 4, 1253-1285 (2000). Reviewer: C.Y.Chan (Lafayette) MSC: 35B05 35K55 35K65 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., SIAM J. Appl. Math. 61, No. 4, 1253--1285 (2000; Zbl 0982.35008) Full Text: DOI
Galaktionov, Victor A.; Shmarev, S. I.; Vazquez, Juan L. Regularity of interfaces in diffusion processes under the influence of strong absorption. (English) Zbl 0938.35082 Arch. Ration. Mech. Anal. 149, No. 3, 183-212 (1999). Reviewer: V.N.Grebenev (Novosibirsk) MSC: 35K65 35B65 35K60 76S05 35K15 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Arch. Ration. Mech. Anal. 149, No. 3, 183--212 (1999; Zbl 0938.35082) Full Text: DOI
Galaktionov, V. A.; Shmarev, S. I.; Vazquez, J. L. Regularity of solutions and interfaces to degenerate parabolic equations. The intersection comparison method. (English) Zbl 0933.35108 Athanasopoulos, I. (ed.) et al., Free boundary problems: theory and applications. Proceedings of the conference, Crete, Greece, June 8–14, 1997. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 409, 115-130 (1999). Reviewer: V.N.Grebenev (Novosibirsk) MSC: 35K65 35B05 35B30 76S05 35B65 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Chapman Hall/CRC Res. Notes Math. 409, 115--130 (1999; Zbl 0933.35108)
Budd, C. J.; Collins, G. J.; Galaktionov, V. A. An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations. (English) Zbl 0932.65099 J. Comput. Appl. Math. 97, No. 1-2, 51-80 (1998). Reviewer: Michael Sever (Jerusalem) MSC: 65M20 35K57 PDFBibTeX XMLCite \textit{C. J. Budd} et al., J. Comput. Appl. Math. 97, No. 1--2, 51--80 (1998; Zbl 0932.65099) Full Text: DOI
Dold, James W.; Galaktionov, Victor A.; Lacey, Andrew A.; Vázquez, Juan Luis Rate of approach to a singular steady state in quasilinear reaction-diffusion equations. (English) Zbl 0920.35080 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 4, 663-687 (1998). MSC: 35K60 35B40 35A20 PDFBibTeX XMLCite \textit{J. W. Dold} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 4, 663--687 (1998; Zbl 0920.35080) Full Text: Numdam EuDML
Galaktionov, Victor A. On invariant subspaces for nonlinear finite-difference operators. (English) Zbl 0920.35073 Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 6, 1293-1308 (1998). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 35K55 39A10 39A70 65M06 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 6, 1293--1308 (1998; Zbl 0920.35073) Full Text: DOI
Budd, Chris J.; Dold, James W.; Galaktionov, Victor A. Self-similar blow-up for a quasilinear parabolic equation with gradient diffusion and exponential source. (English) Zbl 1023.35516 Adv. Differ. Equ. 2, No. 1, 85-124 (1997). MSC: 35K60 35B05 PDFBibTeX XMLCite \textit{C. J. Budd} et al., Adv. Differ. Equ. 2, No. 1, 85--124 (1997; Zbl 1023.35516)
Bebernes, Jerry; Bressan, Alberto; Galaktionov, Victor A. On symmetric and nonsymmetric blowup for a weakly quasilinear heat equation. (English) Zbl 0857.35063 NoDEA, Nonlinear Differ. Equ. Appl. 3, No. 3, 269-286 (1996). MSC: 35K60 35B40 PDFBibTeX XMLCite \textit{J. Bebernes} et al., NoDEA, Nonlinear Differ. Equ. Appl. 3, No. 3, 269--286 (1996; Zbl 0857.35063) Full Text: DOI
Galaktionov, Victor A.; Levine, Howard A. On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary. (English) Zbl 0851.35067 Isr. J. Math. 94, 125-146 (1996). MSC: 35K60 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{H. A. Levine}, Isr. J. Math. 94, 125--146 (1996; Zbl 0851.35067) Full Text: DOI
Galaktionov, Victor A.; Vazquez, Juan L. Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations. (English) Zbl 0884.35014 J. Differ. Equations 127, No. 1, 1-40 (1996). Reviewer: Dian Palagachev (Catania) MSC: 35B40 35K05 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{J. L. Vazquez}, J. Differ. Equations 127, No. 1, 1--40 (1996; Zbl 0884.35014) Full Text: DOI
Bebernes, J.; Bricher, S.; Galaktionov, V. A. Asymptotics of blowup for weakly quasilinear parabolic problems. (English) Zbl 0812.35010 Nonlinear Anal., Theory Methods Appl. 23, No. 4, 489-514 (1994). Reviewer: E.Minchev (Sofia) MSC: 35B40 35K55 35K60 PDFBibTeX XMLCite \textit{J. Bebernes} et al., Nonlinear Anal., Theory Methods Appl. 23, No. 4, 489--514 (1994; Zbl 0812.35010) Full Text: DOI
Galaktionov, Victor A.; Kersner, Róbert; Vazquez, Juan L. Asymptotic behaviour for an equation of superslow diffusion in a bounded domain. (English) Zbl 0805.35061 Asymptotic Anal. 8, No. 3, 237-246 (1994). MSC: 35K60 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Asymptotic Anal. 8, No. 3, 237--246 (1994; Zbl 0805.35061)
Galaktionov, Victor A.; Posashkov, Sergey A. Monotonicity in time and stationary solutions for a quasilinear heat equation with source. (English) Zbl 0757.35036 Rev. Mat. Univ. Complutense Madr. 4, No. 2-3, 251-264 (1991). Reviewer: N.A.Watson (Christchurch) MSC: 35K60 35B30 35K05 35K55 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{S. A. Posashkov}, Rev. Mat. Univ. Complutense Madr. 4, No. 2--3, 251--264 (1991; Zbl 0757.35036) Full Text: EuDML
Galaktionov, Victor A. Monotonicity in time at the single point for the semilinear heat equation with source. (English) Zbl 0754.35057 Differ. Integral Equ. 4, No. 5, 1089-1099 (1991). Reviewer: M.Cinquini-Cibrario (Paris) MSC: 35K55 35K60 35B05 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Differ. Integral Equ. 4, No. 5, 1089--1099 (1991; Zbl 0754.35057)
Galaktinov, Victor A.; Posashkov, Sergey A. Any large solution of a nonlinear heat conduction equation becomes monotonic in time. (English) Zbl 0741.35004 Proc. R. Soc. Edinb., Sect. A 118, No. 1-2, 13-20 (1991). Reviewer: P.Polacik (Bratislava) MSC: 35B40 35K60 35B05 35K55 35Q72 PDFBibTeX XMLCite \textit{V. A. Galaktinov} and \textit{S. A. Posashkov}, Proc. R. Soc. Edinb., Sect. A, Math. 118, No. 1--2, 13--20 (1991; Zbl 0741.35004) Full Text: DOI EuDML
Galaktionov, V. A. Accurate estimates for the amplitude and support of unbounded solutions of the nonlinear heat-conduction equation with a source. (English. Russian original) Zbl 0729.35005 U.S.S.R. Comput. Math. Math. Phys. 30, No. 2, 67-74 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 3, 438-448 (1990). MSC: 35B05 35K60 35K55 35B45 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, U.S.S.R. Comput. Math. Math. Phys. 30, No. 2, 67--74 (1990; Zbl 0729.35005); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 3, 438--448 (1990) Full Text: DOI
Galaktionov, V. A. On blow-up and degeneracy for the semilinear heat equation with source. (English) Zbl 0715.35006 Proc. R. Soc. Edinb., Sect. A 115, No. 1-2, 19-24 (1990). Reviewer: G.F.Roach MSC: 35B40 35K60 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Proc. R. Soc. Edinb., Sect. A, Math. 115, No. 1--2, 19--24 (1990; Zbl 0715.35006) Full Text: DOI
Galaktionov, V. A. Exact estimates of amplitude and support of unbounded solutions of a nonlinear heat equation with a source. (Russian) Zbl 0707.35007 Zh. Vychisl. Mat. Mat. Fiz. 30, No. 3, 438-448 (1990). Reviewer: D.Tătaru MSC: 35B05 35K60 35K55 35B45 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Zh. Vychisl. Mat. Mat. Fiz. 30, No. 3, 438--448 (1990; Zbl 0707.35007)
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On the method of stationary states for quasilinear parabolic equations. (English. Russian original) Zbl 0701.35010 Math. USSR, Sb. 67, No. 2, 449-471 (1990); translation from Mat. Sb. 180, No. 8, 995-1016 (1989). Reviewer: J.Wang MSC: 35B05 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Math. USSR, Sb. 67, No. 2, 449--471 (1990; Zbl 0701.35010); translation from Mat. Sb. 180, No. 8, 995--1016 (1989) Full Text: DOI
Bunkin, F. V.; Galaktionov, V. A.; Kirichenko, N. A.; Kurdyumov, S. P.; Samarskij, A. A. Localization in a nonlinear problem of radiation-induced ignition. (English. Russian original) Zbl 0694.35073 Sov. Phys., Dokl. 33, No. 9, 661-663 (1988); translation from Dokl. Akad. Nauk SSSR 302, No. 1, 68-71 (1988). MSC: 35K05 35K60 35B99 PDFBibTeX XMLCite \textit{F. V. Bunkin} et al., Sov. Phys., Dokl. 33, No. 9, 661--663 (1988; Zbl 0694.35073); translation from Dokl. Akad. Nauk SSSR 302, No. 1, 68--71 (1988)
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On the structure of limit distributions of unbounded solutions of quasilinear parabolic equations. (English. Russian original) Zbl 0685.35017 Sov. Math., Dokl. 38, No. 1, 138-142 (1989); translation from Dokl. Akad. Nauk SSSR 301, No. 4, 781-785 (1988). Reviewer: S.Zheng MSC: 35B40 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Math., Dokl. 38, No. 1, 138--142 (1988; Zbl 0685.35017); translation from Dokl. Akad. Nauk SSSR 301, No. 4, 781--785 (1988)
Galaktionov, V. A.; Posashkov, S. A. Lower bounds for unbounded solutions of parabolic system of quasilinear equations. (Russian. English summary) Zbl 0679.35051 Prepr., Inst. Prikl. Mat. Akad. Nauk SSSR, Mosk. 180, 15 p. (1988). MSC: 35K60 35B05 35B45 35B30 PDFBibTeX XML
Bunkin, F. V.; Galaktionov, V. A.; Kirichenko, N. A.; Kurdyumov, S. P.; Samarskij, A. A. A nonlinear boundary value problem of ignition by radiation. (English. Russian original) Zbl 0677.35056 U.S.S.R. Comput. Math. Math. Phys. 28, No. 2, 157-164 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 549-559 (1988). Reviewer: T.A.Dzhangveladze MSC: 35K60 80A25 35A05 35K20 PDFBibTeX XMLCite \textit{F. V. Bunkin} et al., U.S.S.R. Comput. Math. Math. Phys. 28, No. 2, 157--164 (1988; Zbl 0677.35056); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 549--559 (1988) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Posashkov, S. A.; Samarskij, A. A. A quasilinear parabolic equation with complex spectrum of unbounded automodel solutions. (Russian) Zbl 0616.35043 Mathematical simulation. Processes in nonlinear media, Collect. sci. Works, Moskva 1986, 142-182 (1986). Reviewer: P.Popivanov MSC: 35K60 35A30 35J65 35K15 PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. A new class of asymptotic ”eigenfunctions” for Cauchy’s problem for a nonlinear parabolic equation. (English) Zbl 0612.35059 U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 151-155 (1985). MSC: 35K05 35K60 35B99 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 151--155 (1985; Zbl 0612.35059) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On a new class of asymptotic ”eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation. (Russian) Zbl 0596.35054 Zh. Vychisl. Mat. Mat. Fiz. 25, No. 12, 1833-1839 (1985). Reviewer: V.Burjan MSC: 35K05 35K60 35P99 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Zh. Vychisl. Mat. Mat. Fiz. 25, No. 12, 1833--1839 (1985; Zbl 0596.35054)
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On approximate self-similar solutions of a class of quasilinear heat equations with a source. (English. Russian original) Zbl 0573.35049 Math. USSR, Sb. 52, 155-180 (1985); translation from Mat. Sb., Nov. Ser. 124(166), No. 2(6), 163-188 (1984). Reviewer: I.Zino MSC: 35K60 35B40 35K20 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Math. USSR, Sb. 52, 155--180 (1985; Zbl 0573.35049); translation from Mat. Sb., Nov. Ser. 124(166), No. 2(6), 163--188 (1984) Full Text: DOI EuDML
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On the method of stationary states for nonlinear evolution parabolic problems. (English. Russian original) Zbl 0602.35049 Sov. Math., Dokl. 30, 554-557 (1984); translation from Dokl. Akad. Nauk SSSR 278, 1296-1300 (1984). Reviewer: C.Y.Chan MSC: 35K15 35K45 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Math., Dokl. 30, 554--557 (1984; Zbl 0602.35049); translation from Dokl. Akad. Nauk SSSR 278, 1296--1300 (1984)
Galaktionov, V. A. On a nonlinear equation with a nonpower coefficient in a bounded domain. (English. Russian original) Zbl 0597.35068 Sov. Math., Dokl. 29, 194-198 (1984); translation from Dokl. Akad. Nauk SSSR 275, 285-289 (1984). Reviewer: M.Fila MSC: 35K55 35B40 35K20 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Sov. Math., Dokl. 29, 194--198 (1984; Zbl 0597.35068); translation from Dokl. Akad. Nauk SSSR 275, 285--289 (1984)
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. IV. (English. Russian original) Zbl 0574.35049 Math. USSR, Sb. 49, 125-149 (1984); translation from Mat. Sb., Nov. Ser. 121(163), No. 2, 131-155 (1983). MSC: 35K60 35B40 35A35 35K15 35K20 35B05 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Math. USSR, Sb. 49, 125--149 (1984; Zbl 0574.35049); translation from Mat. Sb., Nov. Ser. 121(163), No. 2, 131--155 (1983) Full Text: DOI EuDML
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. III. (English) Zbl 0549.35068 Math. USSR, Sb. 48, 1-18 (1984). MSC: 35K60 35K05 35B40 35B05 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Math. USSR, Sb. 48, 1--18 (1984; Zbl 0549.35068) Full Text: DOI
Galaktionov, V. A.; Samarskij, A. A. On difference solutions of a class of quasi-linear parabolic equations. (English) Zbl 0552.65068 U.S.S.R. Comput. Math. Math. Phys. 23, No. 4, 40-44 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 4, 40--44 (1983; Zbl 0552.65068) Full Text: DOI
Galaktionov, V. A. Criticality conditions and comparison theorems for difference solutions of nonlinear parabolic equations. (English) Zbl 0544.65068 U.S.S.R. Comput. Math. Math. Phys. 23, No. 1, 74-80 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 1, 74--80 (1983; Zbl 0544.65068) Full Text: DOI
Galaktionov, V. A.; Samarskij, A. A. Difference solutions of a class of quasilinear parabolic equations. I. (English) Zbl 0543.65068 U.S.S.R. Comput. Math. Math. Phys. 23, No. 3, 83-91 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 3, 83--91 (1983; Zbl 0543.65068) Full Text: DOI
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. III. (Russian) Zbl 0529.35045 Mat. Sb., N. Ser. 120(162), No. 1, 3-21 (1983). MSC: 35K60 35B40 35B05 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Mat. Sb., Nov. Ser. 120(162), No. 1, 3--21 (1983; Zbl 0529.35045) Full Text: EuDML
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. II. (English. Russian original) Zbl 0529.35044 Math. USSR, Sb. 46, 439-458 (1983); translation from Mat. Sb., Nov. Ser. 118(160), 435-455 (1982). MSC: 35K60 35B40 35B05 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Math. USSR, Sb. 46, 439--458 (1983; Zbl 0529.35044); translation from Mat. Sb., Nov. Ser. 118(160), 435--455 (1982) Full Text: DOI
Galaktionov, V. A.; Samarskij, A. A. Methods of constructing approximate self-similar solutions of nonlinear heat equations. I. (English. Russian original) Zbl 0529.35043 Math. USSR, Sb. 46, 291-321 (1983); translation from Mat. Sb. Nov. Ser. 118(160), 291-322 (1982). MSC: 35K60 35B40 35B05 35A35 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Math. USSR, Sb. 46, 291--321 (1983; Zbl 0529.35043); translation from Mat. Sb. Nov. Ser. 118(160), 291--322 (1982) Full Text: DOI EuDML
Galaktionov, V. A.; Samarskij, A. A. On difference solutions of a certain class of quasilinear parabolic equations. II. (Russian) Zbl 0526.65072 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 4, 831-838 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Zh. Vychisl. Mat. Mat. Fiz. 23, No. 4, 831--838 (1983; Zbl 0526.65072)
Galaktionov, V. A.; Samarskij, A. A. On difference solutions of a certain class of quasilinear parabolic equations. I. (Russian) Zbl 0526.65071 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 3, 646-659 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{A. A. Samarskij}, Zh. Vychisl. Mat. Mat. Fiz. 23, No. 3, 646--659 (1983; Zbl 0526.65071)
Galaktionov, V. A. Criticality conditions and comparison theorems for difference solutions of nonlinear parabolic equations. (English) Zbl 0526.65070 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 1, 109-118 (1983). MSC: 65N12 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Zh. Vychisl. Mat. Mat. Fiz. 23, No. 1, 109--118 (1983; Zbl 0526.65070)
Galaktionov, V. A. The conditions for there to be no global solutions of a class of quasilinear parabolic equations. (English) Zbl 0548.35068 U.S.S.R. Comput. Math. Math. Phys. 22, No. 2, 73-90 (1982). MSC: 35K55 35K60 35K15 35A05 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, U.S.S.R. Comput. Math. Math. Phys. 22, No. 2, 73--90 (1982; Zbl 0548.35068) Full Text: DOI
Galaktionov, V. A. The existence and non-existence of global solutions of boundary value problems for quasi-linear parabolic equations. (English. Russian original) Zbl 0535.35044 U.S.S.R. Comput. Math. Math. Phys. 22, No. 6, 88-107 (1982); translation from Zh. Vychisl. Mat. Mat. Fiz. 22, No. 6, 1369-1385 (1982). Reviewer: V.Z.Enol’skii MSC: 35K60 35A05 35K20 80A20 35B45 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, U.S.S.R. Comput. Math. Math. Phys. 22, No. 6, 88--107 (1982; Zbl 0535.35044); translation from Zh. Vychisl. Mat. Mat. Fiz. 22, No. 6, 1369--1385 (1982) Full Text: DOI
Galaktionov, V. A. Approximate self-similar solutions of the heat equation. (English. Russian original) Zbl 0514.35035 Sov. Math., Dokl. 26, 121-126 (1982); translation from Dokl. Akad. Nauk SSSR 265, 784-789 (1982). MSC: 35K05 35K20 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Sov. Math., Dokl. 26, 121--126 (1982; Zbl 0514.35035); translation from Dokl. Akad. Nauk SSSR 265, 784--789 (1982)
Galaktionov, V. A. On conditions for nonexistence of global solutions of a certain class of quasilinear parabolic equations. (Russian) Zbl 0501.35043 Zh. Vychisl. Mat. Mat. Fiz. 22, 322-338 (1982). MSC: 35K55 35K15 35A05 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Zh. Vychisl. Mat. Mat. Fiz. 22, 322--338 (1982; Zbl 0501.35043)
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Heat localization in nonlinear media. (English. Russian original) Zbl 0495.35044 Differ. Equations 17, 1141-1154 (1982); translation from Differ. Uravn. 17, 1826-1841 (1981). MSC: 35K60 35B05 80A20 74A15 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Differ. Equations 17, 1141--1154 (1982; Zbl 0495.35044); translation from Differ. Uravn. 17, 1826--1841 (1981)
Galaktionov, V. A. Boundary-value problem for the nonlinear parabolic equation \(u_ t = \Delta u^{\sigma+1} + u^\beta\). (English) Zbl 0478.35058 Differ. Equations 17, 551-555 (1981). MSC: 35K60 35K15 35K20 35A05 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Differ. Equations 17, 551--555 (1981; Zbl 0478.35058)
Galaktionov, V. A. On a certain boundary value problem for the non-linear parabolic equation \(u_ t=\Delta u^ (\sigma+1)+u^\beta\). (Russian) Zbl 0468.35056 Differ. Uravn. 17, 836-842 (1981). MSC: 35K60 35K20 35A05 35K15 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Differ. Uravn. 17, 836--842 (1981; Zbl 0468.35056)
Galaktionov, V. A. Approximate self-simulating solutions of equations of the nonlinear heat- conduction type. (English) Zbl 0462.35052 Differ. Equations 16, 1076-1089 (1981). MSC: 35K60 35A35 35K05 35B40 80A20 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Differ. Equations 16, 1076--1089 (1981; Zbl 0462.35052)
Galaktionov, V. A. Über approximative Automodellösungen von Gleichungen des Typs der nichtlinearen Wärmeleitung. (Russian) Zbl 0452.35061 Differ. Uravn. 16, 1660-1676 (1980). MSC: 35K60 35A35 35K05 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Differ. Uravn. 16, 1660--1676 (1980; Zbl 0452.35061)
Galaktionov, V. A. Two methods of comparing solutions of parabolic equations. (English. Russian original) Zbl 0449.35049 Sov. Phys., Dokl. 25, 250-252 (1980); translation from Dokl. Akad. Nauk SSSR 251, 832-835 (1980). MSC: 35K20 35B45 35B05 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Sov. Phys., Dokl. 25, 250--252 (1980; Zbl 0449.35049); translation from Dokl. Akad. Nauk SSSR 251, 832--835 (1980)
Galaktionov, V. A.; Kurdyumov, S. P.; Mikhajlov, A. P.; Samarskij, A. A. Comparison of solutions to parabolic equations. (English. Russian original) Zbl 0434.35011 Sov. Phys., Dokl. 24, 732-734 (1979); translation from Dokl. Akad. Nauk SSSR 248, 586-589 (1979). MSC: 35B05 35K20 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Phys., Dokl. 24, 732--734 (1979; Zbl 0434.35011); translation from Dokl. Akad. Nauk SSSR 248, 586--589 (1979)
Galaktionov, V. A. \(\Phi\)-critical conditions and methods of comparison of the solutions of a parabolic equation. (Russian) Zbl 0428.35012 Prepr. Inst. Prikl. Mat. Akad. Nauk SSSR, Moscow 151, 1-31 (1979). MSC: 35B45 35K65 35K20 35B05 PDFBibTeX XML