$L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups
We prove the $L^p-L^q$ $(1
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.643/ |
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| author | Gómez Cobos, Santiago Restrepo, Joel E. Ruzhansky, Michael |
| author_facet | Gómez Cobos, Santiago Restrepo, Joel E. Ruzhansky, Michael |
| author_sort | Gómez Cobos, Santiago |
| collection | DOAJ |
| description | We prove the $L^p-L^q$ $(1 |
| format | Article |
| id | doaj-art-c203ac4a8dde4267a38adae9c21ec893 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-c203ac4a8dde4267a38adae9c21ec8932025-02-07T11:23:50ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G111331133610.5802/crmath.64310.5802/crmath.643$L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groupsGómez Cobos, Santiago0Restrepo, Joel E.1https://orcid.org/0000-0002-2381-7334Ruzhansky, Michael2https://orcid.org/0000-0001-8633-5570Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, B 9000 Ghent, BelgiumDepartment of Mathematics, Cinvestav IPN, Mexico city, Mexico; Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, B 9000 Ghent, BelgiumDepartment of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, B 9000 Ghent, Belgium; School of Mathematical Sciences, Queen Mary University of London, United KingdomWe prove the $L^p-L^q$ $(1https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.643/Locally compact groupsheat type equationswave type equationsasymptotic estimatesnon-local operators |
| spellingShingle | Gómez Cobos, Santiago Restrepo, Joel E. Ruzhansky, Michael $L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups Comptes Rendus. Mathématique Locally compact groups heat type equations wave type equations asymptotic estimates non-local operators |
| title | $L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups |
| title_full | $L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups |
| title_fullStr | $L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups |
| title_full_unstemmed | $L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups |
| title_short | $L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups |
| title_sort | l p l q estimates for non local heat and wave type equations on locally compact groups |
| topic | Locally compact groups heat type equations wave type equations asymptotic estimates non-local operators |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.643/ |
| work_keys_str_mv | AT gomezcobossantiago lplqestimatesfornonlocalheatandwavetypeequationsonlocallycompactgroups AT restrepojoele lplqestimatesfornonlocalheatandwavetypeequationsonlocallycompactgroups AT ruzhanskymichael lplqestimatesfornonlocalheatandwavetypeequationsonlocallycompactgroups |