Report
A Wasserstein norm for signed measures, with application to non local transport equation with source term
| العنوان: | A Wasserstein norm for signed measures, with application to non local transport equation with source term |
|---|---|
| المؤلفون: | Piccoli, Benedetto, Rossi, Francesco, Tournus, Magali |
| المساهمون: | Rutgers University, Department of Mathematics, Department of Mathematics - Rutgers School of Arts and Sciences, Rutgers, The State University of New Jersey New Brunswick (RU), Rutgers University System (Rutgers)-Rutgers University System (Rutgers)-Rutgers, The State University of New Jersey New Brunswick (RU), Rutgers University System (Rutgers)-Rutgers University System (Rutgers), Dipartimento di Matematica Padova, Università degli Studi di Padova = University of Padua (Unipd), Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | https://hal.science/hal-01665244 ; 2021. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2021 |
| المجموعة: | Aix-Marseille Université: HAL |
| مصطلحات موضوعية: | Signed measures, Kantorovich duality AMS subject classifications 28A33, Transport equation, Kantorovich duality, Wasserstein distance, 35A01, AMS subject classifications 28A33, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| الوصف: | We introduce the optimal transportation interpretation of the Kantorovich norm on the space of signed Radon measures with finite mass, based on a generalized Wasserstein distance for measures with different masses. With the formulation and the new topological properties we obtain for this norm, we prove existence and uniqueness for solutions to non-local transport equations with source terms, when the initial condition is a signed measure. |
| نوع الوثيقة: | report |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/arxiv/1910.05105; hal-01665244; https://hal.science/hal-01665244; https://hal.science/hal-01665244v5/document; https://hal.science/hal-01665244v5/file/PRT21dec.pdf; ARXIV: 1910.05105 |
| الاتاحة: | https://hal.science/hal-01665244 https://hal.science/hal-01665244v5/document https://hal.science/hal-01665244v5/file/PRT21dec.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.51616C82 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |