Local vanishing properties of solutions of elliptic and parabolic quasilinear equations
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.contributor.author | Véron, Laurent | |
| dc.date.accessioned | 2023-06-21T02:02:18Z | |
| dc.date.available | 2023-06-21T02:02:18Z | |
| dc.date.issued | 1985 | |
| dc.description.abstract | This paper is a study of some vanishing properties of weak solutions to nonlinear elliptic and parabolic equations. Instead of using monotonicity arguments, the method of proof is based on an energy method. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16417 | |
| dc.identifier.doi | 10.2307/2000315 | |
| dc.identifier.issn | 0002-9947 | |
| dc.identifier.officialurl | http://www.jstor.org/stable/2000315?origin=crossref | |
| dc.identifier.relatedurl | http://www.ams.org/home/page | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/64667 | |
| dc.issue.number | 2 | |
| dc.journal.title | Transactions of the American Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 814 | |
| dc.page.initial | 787 | |
| dc.publisher | American Mathematical Society | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.95 | |
| dc.subject.keyword | weak solutions | |
| dc.subject.keyword | quasilinear equations | |
| dc.subject.keyword | local vanishing | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Local vanishing properties of solutions of elliptic and parabolic quasilinear equations | |
| dc.type | journal article | |
| dc.volume.number | 290 | |
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Vychisl. Mat. i Mat. Fiz. 14 (1974), 891-905. A. S. Kalashnikov, On a nonlinear equation appearing in the theory of non-stationary filtration, Trudy Sem. Petrovsk. 4 (1978), 137-146. R. Kersner, The behaviour of temperature fronts in media with nonlinear thermal conductivity under absorption, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 33 (1978), 44-51. R. Kersner, Filtration with absorption: necessary and sufficient conditions for the propagation of perturbations to have finite velocity (to appear). R. Kersner, Nonlinear heat conduction with absorption: space localization and extinction in finite time (to appear). B. F. Knerr, The porous medium equation in one dimension, Trans. Amer. Math. Soc. 234 (1977), 381-415. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and quasilinear elliptic equations, Academic Press, New York, 1968. O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural'tseva, Linear and quasilinear equations of parabolic type, Amer. Math. Soc. Transl., vol. 23, 1968. J. L. Lions, Quelques méthodes de résolutions des problèmes aux limites non linéaires, Dunod, Paris, 1969. L. K. Martinson and K. B. Pavlov, The effect of magnetic plasticity in non-Newtonian fluids, Magnit. Gidrodinamika 3 (1969), 69-75. L. K. Martinson and K. B. Pavlov, Unsteady shear flows of a conducting fluid with a rheological power law, Magnit. Gidrodinamika 4 (1970), 50-58. O. A. Oleinik, A. S. Kalashnikov and C. Yui Lin, The Cauchy problem and boundary problems for equations of the type of nonstationary filtration, Izv. Akad. Nauk SSSR Ser. Mat. 22 (1958), 667-704. L. A. Peletier, A necessary and sufficient condition for the existence of an interface in flows through porous media, Arch. Rational Mech. Anal. 56 (1974), 183-190. G. Stampacchia, Equations elliptiques du second ordre à coefficients discontinus, Presses de l'Univ. de Montréal, 1966. L. Veron, Equations d'évolution semi-linéaires du second ordre dans L1, Rev. Roumaine Math. Pures Appl. 27 (1982), 95-123. L. Veron, Effets régularisants de semi-groupes non linéaires dans des espaces de Banach, Ann. Fac. Sci. Toulouse Math. (5) 1 (1979), 171-200. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
| relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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