| Title: |
Microlocal partition of energy for linear wave or Schrödinger equations |
| Authors: |
Delort, Jean-Marc |
| Contributors: |
Laboratoire Analyse, Géométrie et Applications (LAGA); Université Paris 8 Vincennes-Saint-Denis (UP8)-Université Paris 13 (UP13)-Institut Galilée-Centre National de la Recherche Scientifique (CNRS); Part of this material is based upon work supported by the National Science Foundation under Grant No. DMS-1928930 while the author participated in a program hosted by the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2021 semester. |
| Source: |
ISSN: 2576-7658 ; Tunisian Journal of Mathematics ; https://hal.science/hal-03227390 ; Tunisian Journal of Mathematics, 2022. |
| Publisher Information: |
HAL CCSD; Mathematical Science Publishers |
| Publication Year: |
2022 |
| Collection: |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| Subject Terms: |
MSC 35L05; 35Q41; [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| Description: |
International audience ; We prove a microlocal partition of energy for solutions to linear half-wave or Schrödinger equations in any space dimension. This extends well-known (local) results valid for the wave equation outside the wave cone, and allows us in particular, in the case of even dimension, to generalize the radial estimates due to Côte, Kenig and Schlag to non radial initial data. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
hal-03227390; https://hal.science/hal-03227390; https://hal.science/hal-03227390v3/document; https://hal.science/hal-03227390v3/file/article_v4.pdf |
| Availability: |
https://hal.science/hal-03227390; https://hal.science/hal-03227390v3/document; https://hal.science/hal-03227390v3/file/article_v4.pdf |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.8B84D8E |
| Database: |
BASE |