Microlocal partition of energy for linear wave or Schrödinger equations

DOI10.2140/tunis.2022.4.329zbMath1497.35019OpenAlexW3178357656MaRDI QIDQ2674618

Jean-Marc Delort

Publication date: 14 September 2022

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/tunis.2022.4.329

zbMATH Keywords

wave equationSchrödinger equationmicrolocal analysischannels of energy

Mathematics Subject Classification ID

Wave equation (35L05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for second-order hyperbolic equations (35L15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Concentration close to the cone for linear waves

Cites Work

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• Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case
• Profiles for the radial focusing \(4d\) energy-critical wave equation
• Decay estimates for nonradiative solutions of the energy-critical focusing wave equation
• Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation
• Energy partition for the linear radial wave equation
• Oscillatory integrals and multipliers on FL\(^p\)
• Fourier Integrals in Classical Analysis
• Characterization of large energy solutions of the equivariant wave map problem: I
• Characterization of large energy solutions of the equivariant wave map problem: II

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