Registro completo de metadatos
| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.creator | Ignat, Liviu I. | - |
| dc.creator | Pinasco, Damian | - |
| dc.creator | Rossi, Julio Daniel | - |
| dc.creator | San Antolín, Angel | - |
| dc.date | 2018-01-18T21:00:56Z | - |
| dc.date | 2018-01-18T21:00:56Z | - |
| dc.date | 2014-03 | - |
| dc.date | 2018-01-16T18:05:48Z | - |
| dc.date.accessioned | 2019-04-29T15:42:30Z | - |
| dc.date.available | 2019-04-29T15:42:30Z | - |
| dc.date.issued | 2014-03 | - |
| dc.identifier | Ignat, Liviu I.; Pinasco, Damian; Rossi, Julio Daniel; San Antolín, Angel; Decay estimates for nonlinear nonlocal diffusion problems in the whole space; Springer; Journal d'Analyse Mathématique; 122; 1; 3-2014; 375-401 | - |
| dc.identifier | 0021-7670 | - |
| dc.identifier | http://hdl.handle.net/11336/33894 | - |
| dc.identifier | 1565-8538 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/300055 | - |
| dc.description | In this paper, we obtain bounds for the decay rate in the Lr (ℝd)-norm for the solutions of a nonlocal and nonlinear evolution equation, namely, ut(x,t)=∫RdK(x,y)|u(y,t)−u(x,t)|p−2(u(y,t)−u(x,t))dy,x∈Rd,t>0. We consider a kernel of the form K(x, y) = ψ(y−a(x)) + ψ(x−a(y)), where ψ is a bounded, nonnegative function supported in the unit ball and a is a linear function a(x)=Ax. To obtain the decay rates, we derive lower and upper bounds for the first eigenvalue of a nonlocal diffusion operator of the form T(u)=−∫RdK(x,y)|u(y)−u(x)|p−2(u(y)−u(x))dy,1⩽p<∞. The upper and lower bounds that we obtain are sharp and provide an explicit expression for the first eigenvalue in the whole space ℝd: λ1,p(Rd)=2(∫Rdψ(z)dz)|1|detA|1/p−1|p. Moreover, we deal with the p = ∞ eigenvalue problem, studying the limit of λ 1,p 1/p as p→∞. | - |
| dc.description | Fil: Ignat, Liviu I.. Romanian Academy of Sciences. Institute of Mathematics “Simion Stoilow”; Rumania. University of Bucharest. Faculty of Mathematics and Computer Science; Rumania | - |
| dc.description | Fil: Pinasco, Damian. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina | - |
| dc.description | Fil: Rossi, Julio Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Alicante. Facultad de Ciencias; España. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina | - |
| dc.description | Fil: San Antolín, Angel. Universidad de Alicante. Facultad de Ciencias; España | - |
| dc.format | application/pdf | - |
| dc.format | application/rar | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Springer | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11854-014-0011-z | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1207.2565 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11854-014-0011-z | - |
| dc.rights | info:eu-repo/semantics/openAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.subject | NONLOCAL DIFFUSION | - |
| dc.subject | EIGENVALUES | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | Decay estimates for nonlinear nonlocal diffusion problems in the whole space | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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