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Qualitative Properties of Dispersive PDEs

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Cover of 'Qualitative Properties of Dispersive PDEs'

Table of Contents

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    Book Overview
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    Chapter 1 A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential
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    Chapter 2 Dynamics of Solutions to the Gross–Pitaevskii Equation Describing Dipolar Bose–Einstein Condensates
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    Chapter 3 Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on 𝕋 2 $$\mathbb {T}^2$$
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    Chapter 4 Nonlinear Schrödinger Equation with Singularities
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    Chapter 5 Schrödinger Flow’s Dispersive Estimates in a regime of Re-scaled Potentials
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    Chapter 6 Dispersive Estimates for the Dirac–Coulomb Equation
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    Chapter 7 Heat Equation with Inverse-Square Potential of Bridging Type Across Two Half-Lines
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    Chapter 8 On the Cauchy Problem for Quasi-Linear Hamiltonian KdV-Type Equations
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    Chapter 9 Quasilinear Wave Equations with Decaying Time-Potential
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    Chapter 10 Hamiltonian field theory close to the wave equation: from Fermi-Pasta-Ulam to water waves
Attention for Chapter 3: Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on 𝕋 2 $$\mathbb {T}^2$$
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Chapter title
Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on 𝕋 2 $$\mathbb {T}^2$$
Chapter number 3
Book title
Qualitative Properties of Dispersive PDEs
Published by
Springer, Singapore, January 2022
DOI 10.1007/978-981-19-6434-3_3
Book ISBNs
978-9-81-196433-6, 978-9-81-196434-3
Authors

Lucà, Renato

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