In the present paper we derive Liouville type results and existence of periodic solutions for the nonhomogeneous parabolic systems. Moreover, we prove both universal bounds as well as singularity and decay estimates for this class of problems. In this study, we have to face new difficulties due to the non-homogenous nonlinearities. To overcome this issue, we carry out delicate integral estimates for this class of nonlinearities and modify the usual scaling and blow up arguments.
Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems
Jevnikar A.;
2023-01-01
Abstract
In the present paper we derive Liouville type results and existence of periodic solutions for the nonhomogeneous parabolic systems. Moreover, we prove both universal bounds as well as singularity and decay estimates for this class of problems. In this study, we have to face new difficulties due to the non-homogenous nonlinearities. To overcome this issue, we carry out delicate integral estimates for this class of nonlinearities and modify the usual scaling and blow up arguments.File in questo prodotto:
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