On solutions of semilinear parabolic equations

MR0673704 Ebihara, Yukiyoshi Yukiyoshi EBIHARA On solutions of semilinear parabolic equations Fako de l'Funkcialaj Ekvacioj Japana Matematika Societo. Funkcialaj Ekvaciog. Serio Internacia 25 1982 79--96 http://fe.math.kobe-u.ac.jp/FE/Free/vol25/fe25-1-6.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe25-079-096/fe25-079-096.pdf http://www.ams.org/mathscinet-getitem?mr=MR0673704 fe25-079-096 1982 On Solutions of Semilinear Parabolic Equations EBIHARA, Yukiyoshi EBIHARA, Yukiyoshi 1 Ebihara, Y.; Nanbu, T. On the global solution of some nonlinear parabolic equation Funkcial. Ekvac. 20 1977 23-38 MR0605330 0605330 100 Cache/Eb/Ebihara,nonlinear,Funkcial*,1977,1978 2 Ebihara, Y.; Nanbu, T. On the global solution of some nonlinear parabolic equation II Funkcial. Ekvac. 20 1977 273-286 MR0488954 0488954 100 Cache/Eb/Ebihara,nonlinear,Funkcial*,1977,1978 3 Friedman, A. Partial differential equations of parabolic type Prentice-Hall, Englewood Cliffs, N. J. 1964 MR0181836 100 Cache/Fr/Friedman,Partial,*,1964,1965 xiv+347

4 Fujita, H. On the blowing up of solutions to the Cauchy problem for $u_t=\triangle u+u^{1+\alpha}$ J. Fac. Sci. Univ. Tokyo Sect. I 13 1966 109-124 MR0214914 84 Cache/Fu/Fujita,solutions,J*,1966,1967

5 Kaplan, S. On the growth of solutions of quasi-linear parabolic equations Comm. Pure. Appl. Math. 16 1963 305-330 MR0160044 100 Cache/Ka/Kaplan,quasi-linear,Comm*,1963,1964

6 Ladyzhenskaya, O. A.; Ural'tzeva, N. N. Boundary value problems for linear and quasi-linear parabolic equations, I, II Izv. Akad. Nau. SSSR Mat 26 1962 5-52, 753-780 MR0181837 Cache/La/Ladyzhenskaya,quasi-linear,Izv*,1962,1963

7 Ladyzenskaja, O. A.; Solonnikov, V. A.; Uralceva, N. N. Linear and Quasilinear Equations of Parabolic Type Amer. Math. Soc., Providence, R. I. 1968 MR0244627 80 Cache/La/Ladyzenskaja,Quasilinear,*,1968,1969 xviii+495

8 Levine, H. Some nonexistence and instability theorems for the form $Pu_t=-Au+L(u)$ Arch. Rational Mech. Anal. 51 1973 371-386 MR0348216 Cache/Le/Levine,Pu_t=-Au+L(u),Arch*,1973,1974

9 Lions, J. L. Quelques methodes de resolution de problemes aux limites non lineaires Dunod, Paris 1969 MR0259693 100 Cache/Li/Lions,resolution,*,1969,1970 xx+554 10 Mizohata, S. The theory of partial differential equations Cambridge Univ. Press, London 1973 MR0599580 100 Cache/Mi/Mizohata,partial,*,1973,1974 xii+490 11 Murakami, H. Semi-linear partial differential equations of parabolic type Funkcial. Ekvac. 3 1960 1-50 MR0126082 0126082 100 Cache/Mu/Murakami,Semi-linear,Funkcial*,1960,1961 12 Protter, M. H.; Weinberger, H. Maximum principles in differential equations Prentice-Hall, Englewood Cliffs, N. J. 1967 MR0219861 100 Cache/Pr/Protter,principles,*,1967,1968 x+261