dc.creator | Biagioni H.A. | |
dc.creator | Gramchev T. | |
dc.date | 2003 | |
dc.date | 2015-06-30T17:33:09Z | |
dc.date | 2015-11-26T14:12:43Z | |
dc.date | 2015-06-30T17:33:09Z | |
dc.date | 2015-11-26T14:12:43Z | |
dc.date.accessioned | 2018-03-28T21:13:24Z | |
dc.date.available | 2018-03-28T21:13:24Z | |
dc.identifier | | |
dc.identifier | Journal Of Differential Equations. , v. 194, n. 1, p. 140 - 165, 2003. | |
dc.identifier | 220396 | |
dc.identifier | 10.1016/S0022-0396(03)00197-9 | |
dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-0141656254&partnerID=40&md5=41612431d543de9a13a6636d7659cbdb | |
dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/102623 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/102623 | |
dc.identifier | 2-s2.0-0141656254 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1242082 | |
dc.description | We propose a unified functional analytic approach to study the uniform analytic-Gevrey regularity and the decay of solutions to semilinear elliptic equations on ℝn. First, we develop a fractional calculus for nonlinear maps in Banach spaces of Lp based Gevrey functions, 1 < p < ∞. Then we propose an abstract result on uniform analytic Gevrey regularity, which covers as particular cases solitary wave solutions to both dispersive and dissipative equations. We require a priori low Hp s(ℝn) regularity, with s > scr > 0 depending on the nonlinearity. Next, we investigate the type of decay - polynomial or exponential - of the derivatives of solutions to semilinear elliptic equations, provided they decay a priori slowly as o( x -τ), x → ∞ for some small τ > 0. The restrictions, involved in our results, are optimal. In particular, given a hyperplane L, we construct 2d - 2 strongly singular solutions (locally in Hp s(ℝn) for s < scr) to the semilinear Laplace equation Δu + cud = 0, whose singularities are concentrated on L. © 2003 Elsevier Inc. All rights reserved. | |
dc.description | 194 | |
dc.description | 1 | |
dc.description | 140 | |
dc.description | 165 | |
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dc.language | en | |
dc.publisher | | |
dc.relation | Journal of Differential Equations | |
dc.rights | fechado | |
dc.source | Scopus | |
dc.title | Fractional Derivative Estimates In Gevrey Spaces, Global Regularity And Decay For Solutions To Semilinear Equations In ℝn | |
dc.type | Artículos de revistas | |