On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik type
We are concerned with the problem of global Gevrey regularity of solutions of quasi-linear weakly hyperbolic equations. Assuming a Oleinik’s type condition on the nonlinear term, we establish a suitable energy estimate which permits to prove the propagation of the Gevrey regularity of the C2 solut...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
1996-04-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(2)/203-231.pdf |
| _version_ | 1797821681700438016 |
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| author | R. MANFRIN F. TONIN |
| author_facet | R. MANFRIN F. TONIN |
| author_sort | R. MANFRIN |
| collection | DOAJ |
| description | We are concerned with the problem of global Gevrey regularity of solutions of quasi-linear weakly hyperbolic equations. Assuming a Oleinik’s type condition
on the nonlinear term, we establish a suitable energy estimate which permits to prove
the propagation of the Gevrey regularity of the C2 solutions. |
| first_indexed | 2024-03-13T09:57:24Z |
| format | Article |
| id | doaj.art-2b42f79e90c243538fa4ee74c896faa2 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-03-13T09:57:24Z |
| publishDate | 1996-04-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-2b42f79e90c243538fa4ee74c896faa22023-05-23T14:58:38ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501996-04-01162203231On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik typeR. MANFRIN0F. TONIN 1D.C.A. – Istituto Universitario di Architettura, S. Croce 191, 30135 VeneziaDip. di Matematica, Univ. Torino, via C. Alberto, 10, Torino, ItalyWe are concerned with the problem of global Gevrey regularity of solutions of quasi-linear weakly hyperbolic equations. Assuming a Oleinik’s type condition on the nonlinear term, we establish a suitable energy estimate which permits to prove the propagation of the Gevrey regularity of the C2 solutions.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(2)/203-231.pdfweekly hyperbolicquasi-linearoleinik conditiongevrey regularity |
| spellingShingle | R. MANFRIN F. TONIN On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik type Rendiconti di Matematica e delle Sue Applicazioni weekly hyperbolic quasi-linear oleinik condition gevrey regularity |
| title | On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik type |
| title_full | On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik type |
| title_fullStr | On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik type |
| title_full_unstemmed | On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik type |
| title_short | On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik type |
| title_sort | on the gevrey regularity for weakly hyperbolic equations with space time degeneration of oleinik type |
| topic | weekly hyperbolic quasi-linear oleinik condition gevrey regularity |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(2)/203-231.pdf |
| work_keys_str_mv | AT rmanfrin onthegevreyregularityforweaklyhyperbolicequationswithspacetimedegenerationofoleiniktype AT ftonin onthegevreyregularityforweaklyhyperbolicequationswithspacetimedegenerationofoleiniktype |