Nondispersive solutions to the mass critical half-wave equation in two dimensions

نویسندگان

چکیده

We consider the half-wave equation with mass critical in two dimensions {iut=Du?|u|u, u(t0,x)=u0(x), First, we prove existence of a family traveling solitary waves. then show finite-time blowup solutions ground state ?u0?2=?Q?2, where Q is solution DQ+Q=Q2.

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ژورنال

عنوان ژورنال: Communications in Partial Differential Equations

سال: 2021

ISSN: ['1532-4133', '0360-5302']

DOI: https://doi.org/10.1080/03605302.2021.1950763