Existence of periodic solutions of semilinear parabolic equations and the method of upper and lower solutions

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(83)90252-4 ◽

1983 ◽

Vol 97 (1) ◽

pp. 291-299 ◽

Author(s):

R Kannan ◽

V Lakshmikantham

Keyword(s):

Periodic Solutions ◽

Parabolic Equations ◽

Upper And Lower Solutions ◽

Semilinear Parabolic Equations ◽

Existence Of Periodic Solutions ◽

Semilinear Parabolic

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Existence of periodic solutions for semilinear parabolic equations

Banach Center Publications ◽

10.4064/-35-1-39-49 ◽

1996 ◽

Vol 35 (1) ◽

pp. 39-49

Author(s):

Norimichi Hirano ◽

Noriko Mizoguchi

Keyword(s):

Periodic Solutions ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Existence Of Periodic Solutions ◽

Semilinear Parabolic

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EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH SUBLINEAR GROWTH NONLINEARITIES

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2009.46.4.691 ◽

2009 ◽

Vol 46 (4) ◽

pp. 691-699 ◽

Author(s):

Wan-Se Kim

Keyword(s):

Periodic Solutions ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Multiple Periodic Solutions ◽

Semilinear Parabolic ◽

Growth Nonlinearities

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Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions

SIAM Journal on Numerical Analysis ◽

10.1137/20m1313015 ◽

2020 ◽

Vol 58 (4) ◽

pp. 2212-2234

Author(s):

Natalia Kopteva

Keyword(s):

Error Analysis ◽

Parabolic Equations ◽

Upper And Lower Solutions ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Existence of unstable periodic solutions for semilinear parabolic equations

Nonlinear Analysis ◽

10.1016/0362-546x(94)90215-1 ◽

1994 ◽

Vol 23 (6) ◽

pp. 731-744 ◽

Author(s):

Norimichi Hirano

Keyword(s):

Periodic Solutions ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Periodic Solutions of Semilinear Parabolic Equations

Nonlinear Analysis ◽

10.1016/b978-0-12-165550-1.50007-0 ◽

1978 ◽

pp. 1-29 ◽

Author(s):

Herbert Amann

Keyword(s):

Periodic Solutions ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Existence and multiplicity of periodic solutions for semilinear parabolic equations

World Congress of Nonlinear Analysts '92 ◽

10.1515/9783110883237.291 ◽

1996 ◽

pp. 291-298 ◽

Keyword(s):

Periodic Solutions ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Existence And Multiplicity ◽

Semilinear Parabolic

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Optimal Control of Semilinear Parabolic Equations with $\k$-Approximate Periodic Solutions

SIAM Journal on Control and Optimization ◽

10.1137/060665063 ◽

2007 ◽

Vol 46 (5) ◽

pp. 1754-1778 ◽

Author(s):

Ling Lei ◽

Gengsheng Wang

Keyword(s):

Optimal Control ◽

Periodic Solutions ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Global Existence, Exponential Decay and Blow-up in Finite Time for a Class of Finitely Degenerate Semilinear Parabolic Equations

Acta Mathematica Scientia ◽

10.1007/s10473-019-0508-8 ◽

2019 ◽

Vol 39 (5) ◽

pp. 1290-1308 ◽

Author(s):

Hua Chen ◽

Huiyang Xu

Keyword(s):

Global Existence ◽

Exponential Decay ◽

Parabolic Equations ◽

Finite Time ◽

Blow Up ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Global existence and local continuity of solutions for semilinear parabolic equations

Communications in Partial Differential Equations ◽

10.1080/03605309708821310 ◽

1997 ◽

Vol 22 (9-10) ◽

pp. 1529-1557 ◽

Author(s):

S. Zhang

Keyword(s):

Global Existence ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Continuity Of Solutions ◽

Semilinear Parabolic

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Asymptotic behavior and blow up of solutions for semilinear parabolic equations at critical energy level

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2009.08.028 ◽

2009 ◽

Vol 80 (4) ◽

pp. 808-813 ◽

Author(s):

Xu Runzhang

Keyword(s):

Asymptotic Behavior ◽

Energy Level ◽

Parabolic Equations ◽

Blow Up ◽

Critical Energy ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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