Browsing Theses and Dissertations by Subject "Sobolev spaces"

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A PRIORI ESTIMATE FOR A HIGHER ORDER NONLINEAR SCHRÖDINGER EQUATION IN NEGATIVE SOBOLEV SPACES

Tobakhanov, Nurdaulet (Nazarbayev University School of Sciences and Humanities, 2022-05)

The higer order Nonlinear Schrödinger equation is one of the general examples of dispersive nonlinear partial differential equations. We study a priori bounds for higher-order nonlinear Schrödinger in the Sobolev space. ...