Remarks on the derivation of finite energy weak solutions to the QHD system | Zendy

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Remarks on the derivation of finite energy weak solutions to the QHD system

Author(s) -

Paolo Antonelli

Publication year - 2019

Publication title -

proceedings of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.968

H-Index - 84

eISSN - 1088-6826

pISSN - 0002-9939

DOI - 10.1090/proc/14502

Subject(s) - a priori and a posteriori , regularization (linguistics) , novelty , class (philosophy) , quantum , mathematics , computer science , physics , quantum mechanics , philosophy , theology , epistemology , artificial intelligence

In this note we give an alternative proof of existence of finite energy weak solutions to the quantum hydrodynamics (QHD) system. The main novelty in our approach is that no regularization procedure or approximation is needed, as it is only based on the integral formulation of NLS equation and the a priori bounds given by the Strichartz estimates. The main advantage of this proof is that it can be applied to a wider class of QHD systems.

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