On Least Squares Methods for Parabolic Equations and the Computation of Time-Periodic Solutions

1974 ◽  
Vol 11 (6) ◽  
pp. 1181-1192 ◽  
Author(s):  
Alfred Carasso
Keyword(s):  
Least Squares ◽  
Periodic Solutions ◽  
Parabolic Equations ◽  
Time Periodic Solutions ◽  
Time Periodic

Time-periodic solutions to semilinear parabolic equations

1986 ◽  
Vol 104 (3-4) ◽  
pp. 329-342 ◽  
Author(s):  
Peter Grindrod ◽  
Bryan P. Rynne
Keyword(s):  
Periodic Solutions ◽  
Parabolic Equations ◽  
Evolution Equations ◽  
Periodic Forcing ◽  
Linear Diffusion ◽  
Linear Evolution ◽  
Time Periodic Solutions ◽  
Semilinear Parabolic ◽  
Time Periodic ◽  
Linear Evolution Equations

SynopsisWe consider a class of non-linear evolution equations subject to a periodic forcing term. Using bifurcation theory we obtain results on the existence and number of periodic solutions. The theory applies to semi-linear diffusion equations defined on bounded or unbounded domains.

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