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| Boundedness and Almost Periodicity of Solutions for a Class of Semilinear Parabolic Equations with Boundary Degeneracy |
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Citation： |
Yi XIE,Peidong LEI.Boundedness and Almost Periodicity of Solutions for a Class of Semilinear Parabolic Equations with Boundary Degeneracy[J].Chinese Annals of Mathematics B,2020,41(2):303~324 |
| Page view： 563
Net amount： 589 |
Authors： |
Yi XIE; Peidong LEI |
Foundation： |
This work was supported by the Guangdong Provincial
Natural Science Foundation of China (No.S2013010015800) and the
KLSCK of the Ministry of Education of China (No.93K172012K03). |
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| Abstract： |
In this paper the authors investigate the boundedness and almost
periodicity of solutions of semilinear parabolic equations with
boundary degeneracy. The equations may be weakly degenerate or
strongly degenerate on the lateral boundary. The authors prove the
existence, uniqueness and global exponential stability of bounded
entire solutions, and also establish the existence theorem of almost
periodic solutions if the data are almost periodic. |
Keywords： |
Almost periodic solution, Bounded entire solution, Boundary degeneracy |
Classification： |
35K65, 35B15 |
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