Guo, Boling The initial value problem and the initial-boundary value problem of one class for a system of multidimensional nonlinear Schrödinger equations in nonhomogeneous medium. (Chinese. English summary) Zbl 0849.35128 J. Xiamen Univ., Nat. Sci. 29, No. 1, 13-18 (1990). MSC: 35Q55 35A05 35B40 PDFBibTeX XMLCite \textit{B. Guo}, J. Xiamen Univ., Nat. Sci. 29, No. 1, 13--18 (1990; Zbl 0849.35128)
Todorova, G.; Christov, K. Existence of solutions of semilinear parabolic equations with Hölder nonlinear boundary data. (English) Zbl 0736.35055 C. R. Acad. Bulg. Sci. 43, No. 9, 21-24 (1990). Reviewer: G.Todorova (Sofia) MSC: 35K55 35B40 PDFBibTeX XMLCite \textit{G. Todorova} and \textit{K. Christov}, C. R. Acad. Bulg. Sci. 43, No. 9, 21--24 (1990; Zbl 0736.35055)
Chen, Yun-Gang Blow-up solutions of a semilinear parabolic equation with the Neumann and Robin boundary conditions. (English) Zbl 0785.35052 J. Fac. Sci., Univ. Tokyo, Sect. I A 37, No. 3, 537-574 (1990). MSC: 35K60 35B05 35B30 35B40 PDFBibTeX XMLCite \textit{Y.-G. Chen}, J. Fac. Sci., Univ. Tokyo, Sect. I A 37, No. 3, 537--574 (1990; Zbl 0785.35052)
Galaktionov, Victor A. On new exact blow-up solutions for nonlinear heat conduction equations with source and applications. (English) Zbl 0735.35074 Differ. Integral Equ. 3, No. 5, 863-874 (1990). Reviewer: D.G.Costa (Brasilia) MSC: 35K55 35K65 35C05 35B99 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Differ. Integral Equ. 3, No. 5, 863--874 (1990; Zbl 0735.35074)
Wegert, E. On the global solvability of the diffusion equation of Satsuma and Mimura. (English) Zbl 0743.35037 Z. Anal. Anwend. 9, No. 4, 313-318 (1990). Reviewer: P.G.Schmidt (Auburn) MSC: 35K57 35B40 35B30 35B50 92D25 35B05 PDFBibTeX XMLCite \textit{E. Wegert}, Z. Anal. Anwend. 9, No. 4, 313--318 (1990; Zbl 0743.35037) Full Text: DOI
Cazenave, Thierry; Haraux, Alain Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) (French) Zbl 0786.35070 Mathématiques & Applications (Paris). 1. Paris: Ellipses, 142 p. (1990). Reviewer: D.Blanchard (Mont-Saint-Aignan) MSC: 35G10 35K25 35B40 47H20 35-02 47-02 PDFBibTeX XMLCite \textit{T. Cazenave} and \textit{A. Haraux}, Introduction aux problèmes d'évolution semi-linéaires. Paris: Ellipses (1990; Zbl 0786.35070)
John, Fritz Nonlinear wave equations, formation of singularities. Revised notes of the 7th annual Pitcher Lectures delivered at Lehigh University, Bethlehem, PA, USA in April 1989. (English) Zbl 0716.35043 University Lecture Series, 2. Providence, RI: American Mathematical Society (AMS). 80 p. $ 29.00 (1990). Reviewer: R.Leis MSC: 35L70 35B40 35-02 35L55 PDFBibTeX XMLCite \textit{F. John}, Nonlinear wave equations, formation of singularities. Revised notes of the 7th annual Pitcher Lectures delivered at Lehigh University, Bethlehem, PA, USA in April 1989. Providence, RI: American Mathematical Society (1990; Zbl 0716.35043)
Itô, Seizô On blow-up of positive solutions of semilinear parabolic equations. (English) Zbl 0731.35014 J. Fac. Sci., Univ. Tokyo, Sect. I A 37, No. 2, 527-536 (1990). Reviewer: K.Hawlitschek (Ulm) MSC: 35B40 35K60 PDFBibTeX XMLCite \textit{S. Itô}, J. Fac. Sci., Univ. Tokyo, Sect. I A 37, No. 2, 527--536 (1990; Zbl 0731.35014)
Fila, M.; Filo, J. Blow up for a nonlinear degenerate parabolic equation. (English) Zbl 0729.35017 Differential equations and their applications, Proc. 7th Conf., Equadiff 7, Prague/Czech. 1989, Teubner-Texte Math. 118, 163-166 (1990). Reviewer: M.Fila MSC: 35B40 35K60 35K65 PDFBibTeX XML
Ghidaglia, Jean-Michel; Saut, Jean-Claude On the initial value problem for the Davey-Stewartson systems. (English) Zbl 0727.35111 Nonlinearity 3, No. 2, 475-506 (1990). Reviewer: G.Jank (Aachen) MSC: 35Q35 35Q55 76B15 35B40 PDFBibTeX XMLCite \textit{J.-M. Ghidaglia} and \textit{J.-C. Saut}, Nonlinearity 3, No. 2, 475--506 (1990; Zbl 0727.35111) Full Text: DOI
Tsutsumi, Yoshio Rate of \(L^ 2\)-concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power. (English) Zbl 0726.35124 Nonlinear Anal., Theory Methods Appl. 15, No. 8, 719-724 (1990). Reviewer: C.D.Chirila (Iaşi) MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{Y. Tsutsumi}, Nonlinear Anal., Theory Methods Appl. 15, No. 8, 719--724 (1990; Zbl 0726.35124) Full Text: DOI
Nagasaki, Ken’ichi; Suzuki, Takashi Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities. (English) Zbl 0726.35011 Asymptotic Anal. 3, No. 2, 173-188 (1990). Reviewer: A.Göpfert (Merseburg) MSC: 35B30 35P30 35J60 PDFBibTeX XMLCite \textit{K. Nagasaki} and \textit{T. Suzuki}, Asymptotic Anal. 3, No. 2, 173--188 (1990; Zbl 0726.35011)
Saut, Jean-Claude On the Cauchy problem for the Davey-Stewartson system. (English) Zbl 0725.35097 Problems involving change of type, Proc. Conf., Stuttgart/FRG 1988, Lect. Notes Phys. 359, 151-158 (1990). MSC: 35Q55 35K55 35B40 PDFBibTeX XML
Sławik, L. Blow-up phenomena for nonlinear parabolic equations. (English) Zbl 0724.35017 Z. Angew. Math. Mech. 70, No. 6, 630-632 (1990). Reviewer: S.Zaidman (Montreal) MSC: 35B40 35K55 PDFBibTeX XMLCite \textit{L. Sławik}, Z. Angew. Math. Mech. 70, No. 6, 630--632 (1990; Zbl 0724.35017)
Merle, Frank; Tsutsumi, Yoshio L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity. (English) Zbl 0722.35047 J. Differ. Equations 84, No. 2, 205-214 (1990). Reviewer: R.Saxton (New Orleans) MSC: 35K60 35B40 35Q55 PDFBibTeX XMLCite \textit{F. Merle} and \textit{Y. Tsutsumi}, J. Differ. Equations 84, No. 2, 205--214 (1990; Zbl 0722.35047) Full Text: DOI
Fila, Marek; Filo, Ján Global behaviour of solutions to some nonlinear diffusion equations. (English) Zbl 0719.35041 Czech. Math. J. 40(115), No. 2, 226-238 (1990). Reviewer: R.Sperb (Zürich) MSC: 35K57 35B40 PDFBibTeX XMLCite \textit{M. Fila} and \textit{J. Filo}, Czech. Math. J. 40(115), No. 2, 226--238 (1990; Zbl 0719.35041) Full Text: EuDML
Tesei, A.; Natalini, R. On a class of scalar conservation laws with locally unbounded solutions. (English) Zbl 0717.35054 Differential equations and their applications, Proc. 7th Conf., Equadiff 7, Prague/Czech. 1989, Teubner-Texte Math. 118, 204-207 (1990). MSC: 35L65 35D05 PDFBibTeX XML
Perthame, Benoît Non-existence of global solutions to Euler-Poisson equations for repulsive forces. (English) Zbl 0717.35049 Japan J. Appl. Math. 7, No. 2, 363-367 (1990). Reviewer: R.Mikulevičius MSC: 35L60 35B40 35Q05 PDFBibTeX XMLCite \textit{B. Perthame}, Japan J. Appl. Math. 7, No. 2, 363--367 (1990; Zbl 0717.35049) Full Text: DOI
Levine, Howard A.; Lieberman, Gary M.; Meier, Peter On critical exponents for some quasilinear parabolic equations. (English) Zbl 0717.35037 Math. Methods Appl. Sci. 12, No. 5, 429-438 (1990). Reviewer: F.Bernis MSC: 35K55 35B30 35B40 35K15 PDFBibTeX XMLCite \textit{H. A. Levine} et al., Math. Methods Appl. Sci. 12, No. 5, 429--438 (1990; Zbl 0717.35037) Full Text: DOI
Ogawa, Takayoshi; Tsutsumi, Yoshio Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition. (English) Zbl 0717.35010 Functional-analytic methods for partial differential equations, Proc. Conf. Symp., Tokyo/Jap. 1989, Lect. Notes Math. 1450, 236-251 (1990). MSC: 35B40 35Q55 PDFBibTeX XML
Jian, Huaiyu On regularity of weak solutions of certain nonlinear partial differential systems of 2kth order. (Chinese. English summary) Zbl 0716.35018 J. Hunan Univ. 17, No. 3, 106-112 (1990). MSC: 35D10 35J70 PDFBibTeX XMLCite \textit{H. Jian}, J. Hunan Univ. 17, No. 3, 106--112 (1990; Zbl 0716.35018)
Jarnicki, M.; Sławik, L. Blow-up time for \(u'_ t-u''_{xx}=f(u)\). (English) Zbl 0716.35009 Qualitative theory of differential equations, 3rd Colloq., Szeged/Hung. 1988, Colloq. Math. Soc. János Bolyai 53, 263-270 (1990). Reviewer: M.Jarnicki MSC: 35B40 35K60 PDFBibTeX XML
Luo, Yanping; Xie, Chunhong A set of blow-up points for a semilinear parabolic system. (Chinese. English summary) Zbl 0716.35008 J. Nanjing Univ., Nat. Sci. Ed. 26, No. 2, 173-186 (1990). MSC: 35B40 35K57 PDFBibTeX XML
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
Bellout, Hamid On some singular solutions of the equations \(\Delta u=-\lambda e^ u\). (English) Zbl 0713.35028 Commun. Partial Differ. Equations 15, No. 4, 525-539 (1990). Reviewer: J.V.A.Goncalves MSC: 35J65 35B30 PDFBibTeX XMLCite \textit{H. Bellout}, Commun. Partial Differ. Equations 15, No. 4, 525--539 (1990; Zbl 0713.35028) Full Text: DOI
Lewandowski, Roger Little holes and convergence of solutions of \(-\Delta u=u^{(N+2)/(N- 2)}\). (English) Zbl 0713.35008 Nonlinear Anal., Theory Methods Appl. 14, No. 10, 873-888 (1990). Reviewer: A.Göpfert MSC: 35B30 35J65 PDFBibTeX XMLCite \textit{R. Lewandowski}, Nonlinear Anal., Theory Methods Appl. 14, No. 10, 873--888 (1990; Zbl 0713.35008) Full Text: DOI
Galaktionov, V. A.; Posashkov, S. A. Estimates from below for unbounded solutions of a quasilinear parabolic system of equations. (English. Russian original) Zbl 0712.35019 Math. Notes 47, No. 2, 111-116 (1990); translation from Mat. Zametki 47, No. 2, 8-14 (1990). Reviewer: L.Kaljakin MSC: 35B45 35K55 35K50 35B40 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{S. A. Posashkov}, Math. Notes 47, No. 2, 111--116 (1990; Zbl 0712.35019); translation from Mat. Zametki 47, No. 2, 8--14 (1990) Full Text: DOI
Craig, Walter; Goodman, Jonathan Linear dispersive equations of Airy type. (English) Zbl 0709.35090 J. Differ. Equations 87, No. 1, 38-61 (1990). Reviewer: W.Craig MSC: 35Q53 35B40 35B65 PDFBibTeX XMLCite \textit{W. Craig} and \textit{J. Goodman}, J. Differ. Equations 87, No. 1, 38--61 (1990; Zbl 0709.35090) Full Text: DOI
Kalashnikov, A. S. A certain class of systems of “reaction-diffusion” type. (English. Russian original) Zbl 0709.35057 J. Sov. Math. 51, No. 3, 2350-2358 (1990); translation from Tr. Semin. Im. I. G. Petrovskogo 14, 78-88 (1989). MSC: 35K57 35D05 35B40 PDFBibTeX XMLCite \textit{A. S. Kalashnikov}, J. Sov. Math. 51, No. 3, 2350--2358 (1990; Zbl 0709.35057); translation from Tr. Semin. Im. I. G. Petrovskogo 14, 78--88 (1989) Full Text: DOI
Merle, Frank Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity. (English) Zbl 0707.35021 Commun. Math. Phys. 129, No. 2, 223-240 (1990). Reviewer: V.Mustonen MSC: 35B40 35K60 35Q55 PDFBibTeX XMLCite \textit{F. Merle}, Commun. Math. Phys. 129, No. 2, 223--240 (1990; Zbl 0707.35021) Full Text: DOI
Guo, Boling; Wang, Lireng Some problems of nonlinear Schrödinger equations with the effect of dissipation. (English) Zbl 0705.35130 J. Partial Differ. Equations 3, No. 3, 1-23 (1990). MSC: 35Q55 35B40 47H20 35D05 46E35 PDFBibTeX XMLCite \textit{B. Guo} and \textit{L. Wang}, J. Partial Differ. Equations 3, No. 3, 1--23 (1990; Zbl 0705.35130)
Bressan, Alberto On the asymptotic shape of blow-up. (English) Zbl 0705.35014 Indiana Univ. Math. J. 39, No. 4, 947-960 (1990). Reviewer: A.Bressan MSC: 35B40 35K55 35C20 PDFBibTeX XMLCite \textit{A. Bressan}, Indiana Univ. Math. J. 39, No. 4, 947--960 (1990; Zbl 0705.35014) Full Text: DOI
Fasano, Antonio; Primicerio, Mario; Howison, S. D.; Ockendon, J. R. Some remarks on the regularization of supercooled one-phase Stefan problems in one dimension. (English) Zbl 0703.35178 Q. Appl. Math. 48, No. 1, 153-168 (1990). Reviewer: A.Fasano MSC: 35R35 35K05 35B40 PDFBibTeX XMLCite \textit{A. Fasano} et al., Q. Appl. Math. 48, No. 1, 153--168 (1990; Zbl 0703.35178) Full Text: DOI Link
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
Kalantarov, V. K. Global behavior of the solutions of certain fourth-order nonlinear equations. (English. Russian original) Zbl 0696.35147 J. Sov. Math. 49, No. 5, 1160-1166 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 66-75 (1987). MSC: 35Q99 37C70 35G20 35B65 PDFBibTeX XMLCite \textit{V. K. Kalantarov}, J. Sov. Math. 49, No. 5, 1160--1166 (1990; Zbl 0696.35147); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 66--75 (1987) Full Text: DOI
Sachs, Robert L. On the blow-up of certain solutions of the “good” Boussinesq equation. (English) Zbl 0674.35082 Appl. Anal. 36, No. 3-4, 145-152 (1990). Reviewer: R.L.Sachs MSC: 35Q99 35B40 35B35 35L75 PDFBibTeX XMLCite \textit{R. L. Sachs}, Appl. Anal. 36, No. 3--4, 145--152 (1990; Zbl 0674.35082) Full Text: DOI
Masuda, Kyûya Infinite-dimensional dynamical systems and applications to nonlinear differential equations — The work of Hiroshi Matano. (Japanese) Zbl 0756.35030 Sūgaku 42, No. 4, 367-371 (1990). Reviewer: K.-i.Nagasaki (Narashino) MSC: 35J60 35-00 35K55 PDFBibTeX XMLCite \textit{K. Masuda}, Sūgaku 42, No. 4, 367--371 (1990; Zbl 0756.35030)
Suzuki, Takashi Introduction to geometric potential theory. (English) Zbl 0754.31002 Functional-analytic methods for partial differential equations, Proc. Conf. Symp., Tokyo/Jap. 1989, Lect. Notes Math. 1450, 88-103 (1990). Reviewer: S.Salsa (Milano) MSC: 31A35 35J25 35B40 PDFBibTeX XMLCite \textit{T. Suzuki}, Lect. Notes Math. None, 88--103 (1990; Zbl 0754.31002)