A NOTE ON THE DECAY IN THE ENERGY SPACE OF
THE RADIAL SOLUTION TO THE FOURTH-ORDER
NLS ON THE WAVEGUIDES Rd× T

Elena Nikolova1, Mirko Tarulli2, George Venkov3
1Department of Information Engineering, Computer
Science and Mathematics, University of L'Aquila
Via Vetoio, L'Aquila - 67100, ITALY
2Department of Mathematical Analysis and
Differential Equations, Technical University of Sofia
Kliment Ohridski Blvd. 8, Sofia - 1000, BULGARIA
& Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Block 8, Sofia - 1113, BULGARIA
& Department of Mathematics, University of Pisa
Largo Bruno Pontecorvo 5, Pisa - 56100, ITALY
3Department of Mathematical Analysis and
Differential Equations, Technical University of Sofia
Kliment Ohridski Blvd. 8, Sofia - 1000, BULGARIA

Abstract

We present, in any space dimension $d\geq3$, the decay in the energy space for the defocusing biharmonic nonlinear Schrödinger equation (NLS4) with energy subcritical nonlinearity posed on the product manifold $\R^d\times \T$. We show also new nonlinear correlation inequalities improving the results appearing in [17].

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 5
Year: 2022

DOI: 10.12732/ijam.v35i5.9

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