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Advances in harmonic analysis and pa...

Georgiev, Vladimir.

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Advances in harmonic analysis and partial differential equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advances in harmonic analysis and partial differential equations/ edited by Vladimir Georgiev ... [et al.].
其他作者:	Georgiev, Vladimir.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	x, 317 p. :ill., digital ;24 cm.
內容註:	Local smoothing of Fourier integral operators and Hermite functions -- On () -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 Schrodinger equations with general homogeneous nonlinearity of the critical order -- Spectral theory for magnetic Schrodinger operators in exterior domains with exploding and oscillating long-range potentials -- Simple proof of the estimate of solutions to Schrodinger 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-Schrodinger equations.
Contained By:	Springer Nature eBook
標題:	Harmonic analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-58215-9
ISBN:	9783030582159

Advances in harmonic analysis and partial differential equations
Advances in harmonic analysis and partial differential equations[electronic resource] /edited by Vladimir Georgiev ... [et al.]. - Cham :Springer International Publishing :2020. - x, 317 p. :ill., digital ;24 cm. - Trends in mathematics,2297-0215. - Trends in mathematics..

Local smoothing of Fourier integral operators and Hermite functions -- On () -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 Schrodinger equations with general homogeneous nonlinearity of the critical order -- Spectral theory for magnetic Schrodinger operators in exterior domains with exploding and oscillating long-range potentials -- Simple proof of the estimate of solutions to Schrodinger 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-Schrodinger equations.

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.

ISBN: 9783030582159

Standard No.: 10.1007/978-3-030-58215-9doiSubjects--Topical Terms:

555704
Harmonic analysis.

LC Class. No.: QA403 / .A383 2020

Dewey Class. No.: 515.2433

Advances in harmonic analysis and partial differential equations
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505 0 $a Local smoothing of Fourier integral operators and Hermite functions -- On () -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 Schrodinger equations with general homogeneous nonlinearity of the critical order -- Spectral theory for magnetic Schrodinger operators in exterior domains with exploding and oscillating long-range potentials -- Simple proof of the estimate of solutions to Schrodinger 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-Schrodinger equations.
520 $a 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.
650 0 $a Harmonic analysis. $3 555704
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Mathematical analysis. $3 516833
650 0 $a Operator theory. $3 542531
650 1 4 $a Analysis. $3 891106
650 2 4 $a Abstract Harmonic Analysis. $3 891093
650 2 4 $a Operator Theory. $3 897311
700 1 $a Georgiev, Vladimir. $3 3528100
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Trends in mathematics. $3 1620392
856 4 0 $u https://doi.org/10.1007/978-3-030-58215-9
950 $a Mathematics and Statistics (SpringerNature-11649)