Titlebook: Qualitative Properties of Dispersive PDEs; Vladimir Georgiev,Alessandro Michelangeli,Raffaele Conference proceedings 2022 The Editor(s) (i

FLORA

Quasilinear Wave Equations with Decaying Time-Potentialnvolved. The interaction between linear and nonlinear terms is a crucial point in determination of global evolution dynamics. When the nonlinear term depends on the derivatives of the solution, the situation is even more delicate. Indeed, even in the constant coefficients case, the null conditions s

forbid

Hamiltonian Field Theory Close to the Wave Equation: From Fermi-Pasta-Ulam to Water Wavesing to “graded” polynomial perturbations in .., . and their space derivatives of higher order, the local field theory is equivalent, in the sense of the Hamiltonian normal form, to that of the Korteweg-de Vries hierarchy of second order. Within this framework, we explain the connection between the t

lacrimal-gland

苦笑

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Dynamics of Solutions to the Gross–Pitaevskii Equation Describing Dipolar Bose–Einstein Condensatesata below, above, and at the mass–energy threshold. We revisit some properties of powers of the Riesz transforms by means of the decay properties of the integral kernel associated to the parabolic biharmonic equation. These decay properties play a fundamental role in establishing the dynamical features of the solutions to the studied GPE.

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開始發(fā)作

Schr?dinger Flow’s Dispersive Estimates in a regime of Re-scaled Potentialsxplicit, and the understanding of such a dependence would be crucial in connecting the dispersive behaviour of the short-range Schr?dinger operator with the zero-range Hamiltonian. The general set-up of the problem is discussed, together with preliminary answers, open questions, and plausible conjectures, in a ‘propaganda’ spirit for this subject.

Largess

槍支

Prologue