Georgiev V., Ozawa T., Ruzhansky M., Wirth J. (Eds.) Advances in Harmonic Analysis and Partial Differential Equations

Springer, 2020. — 319 p. — (Trends in Mathematics). — ISBN: 978-3-030-58214-2.This book originates from the session "Harmonic Analysis and Partial Differential Equations" held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs. It can serve as a useful source of information to mathematicians, scientists and engineers.
This book originates from the session "Harmonic Analysis and Partial Differential Equations" held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs. It can serve as a useful source of information to mathematicians, scientists and engineers.
The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.Local Smoothing of Fourier Integral Operators and Hermite Functions
On (λ, μ)-Classes on the Engel Group
Gelfand Triples for the Kohn–Nirenberg Quantization on Homogeneous Lie Groups
A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent
The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds
On the Focusing Energy-Critical 3D Quintic Inhomogeneous NLS
Lifespan of Solutions to Nonlinear Schrödinger Equations with General Homogeneous Nonlinearity of the Critical Order
Spectral Theory for Magnetic Schrödinger Operators in Exterior Domains with Exploding and Oscillating Long-Range Potentials
Simple Proof of the Estimate of Solutions to Schrödinger Equations with Linear and Sub-linear Potentials in Modulation Spaces
Remark on Asymptotic Order for the Energy Critical Nonlinear Damped Wave Equation to the Linear Heat Equation via the Strichartz Estimates
On Uniqueness for the Generalized Choquard Equation
Characterization of the Ground State to the Intercritical NLS with a Linear Potential by the Virial Functional
Well-Posedness for a Generalized Klein-Gordon-Schrödinger Equations