Existence of classical periodic solutions of semilinear parabolic equations with the Neumann boundary condition

MR0816827 Nakao, Mitsuhiro and Koyanagi, Ryohei Mitsuhiro NAKAO and Ryohei KOYANAGI Existence of classical periodic solutions of semilinear parabolic equations with the Neumann boundary condition Funkcialaj Ekvacioj. Serio Internacia 28 1985 213--219 http://fe.math.kobe-u.ac.jp/FE/Free/vol28/fe28-2-5.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe28-213-219/fe28-213-219.pdf http://www.ams.org/mathscinet-getitem?mr=MR0816827 fe28-213-219 1985 Existence of Classical Periodic Solutions of Semilinear Parabolic Equations with the Neumann Boundary Condition NAKAO, Mitsuhiro; KOYANAGI, Ryohei NAKAO, Mitsuhiro; KOYANAGI, Ryohei

1 Alikakos, N. D. Regularity and asymptotic behavior for the second order parabolic equation with nonlinear boundary conditions J. Differential Equations 39 1981 311-344 MR0612592 86 Cache/Al/Alikakos,Regularity,J*,1981,1982

2 Amann, H. Periodic solutions of semilinear parabolic equations Nonlinear Analysis (L. Cesari, R. Kannan and H. F. Weinberger, Ed.) Academic Press, New York-San Francisco-London 1978 1-29 MR0499089

3 Friedman, A. Partial Differential Equations of Parabolic Type Prentice-Hall, Englewood Cliffs, N. J. 1964 MR0181836 Cache/Fr/Friedmann,Partial,*,1964,1965 4 Friedman, A. Partial Differential Equations Holt, Rinehart and Winston, New York 1969 MR0445088 Cache/Fr/Friedmann,Partial,*,1969,1970 5 Haraux, A. Nonlinear Evolution Equations; Global Behavior of Solutions Lect. Notes in Math., No. 841, Springer-Verlag 1981 MR0610796 xii+313

6 Kolesov, S. Periodic solutions of quasilinear parabolic equations of second order Trudy Moskov. Mat. Obšč. 21 1970 103-134 MR0271518 100 Cache/Ko/Kolesov,quasilinear,Trudy*,1970,1971

7 Kusano, T. Periodic solutions of the first boundary problem for quasilinear parabolic equations of second order Funkcial. Ekvac. 9 1966 129-137 MR0209684 0209684 100 Cache/Ku/Kusano,quasilinear,Funkcial*,1966,1967

8 Nakao, M. Periodic solutions of some nonlinear degenerate parabolic equations J. Math. Anal. Appl. 104 2 1984 554-567 MR0766151 100 Cache/Na/Nakao,degenerate,J*,1984,1985

9 Smulev, I. I. On periodic solutions of the first boundary value problems for parabolic equations Amer. Math. Soc. Trans. (2) 2 79 1968 211-229 MR0173097 Cache/Sm/Smulev,solutions,Amer*,1968,1969

10 Vejvoda, O. et al. Partial Differential Equations: Time-Periodic Solutions Martinus Nijhoff Publ The Hague-Boston-London 1981 MR0653987 Cache/Ve/Vejvoda,Time-Periodic,*,1982,1983