تقرير
Strichartz inequalities with white noise potential on compact surfaces
| العنوان: | Strichartz inequalities with white noise potential on compact surfaces |
|---|---|
| المؤلفون: | Mouzard, Antoine, Zachhuber, Immanuel |
| المساهمون: | Université de Rennes (UR), Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-INSTITUT AGRO Agrocampus Ouest, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Institut für Mathematik (FU Berlin), Freie Universität Berlin |
| المصدر: | https://hal.science/hal-03198650Test ; 2022. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2022 |
| المجموعة: | Archive Ouverte de l'Université Rennes (HAL) |
| مصطلحات موضوعية: | Paracontrolled calculus, Anderson Hamiltonian, White noise, Schrödinger operator, Strichartz inequalities, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] |
| الوصف: | We prove Strichatz inequalities for the Schrödinger equation and the wave equation with multiplicative noise on a two-dimensional manifold. This relies on the Anderson Hamiltonian H described using high order paracontrolled calculus. As an application, it gives a low regularity solution theory for the associated nonlinear equations. |
| نوع الوثيقة: | report |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/arxiv/2104.07940; hal-03198650; https://hal.science/hal-03198650Test; https://hal.science/hal-03198650v3/documentTest; https://hal.science/hal-03198650v3/file/Stochastic%20Strichartz%20estimate.pdfTest; ARXIV: 2104.07940 |
| الإتاحة: | https://hal.science/hal-03198650Test https://hal.science/hal-03198650v3/documentTest https://hal.science/hal-03198650v3/file/Stochastic%20Strichartz%20estimate.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.2E40058B |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |