Artículo
Canuto, B. "Stability results for the N-dimensional Schiffer conjecture via a perturbation method" (2014) Calculus of Variations and Partial Differential Equations. 50(1-2):305-334
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Abstract:
Given a eigenvalue μ2 0m of -Δ in the unit ball B1, with Neumann boundary conditions, we prove that there exists a class D of C0,1-domains, depending on μ0m, such that if u is a no trivial solution to the following problem Δu + μu = 0 in Ω, u = 0 on ∂Ω, and ∫∂Ω∂nu = 0, with Ω ∈ D, and μ = μ20 m +o(1), then μ is a ball. Here μ is a eigenvalue of -Δ in Ω, with Neumann boundary conditions. © 2013 Springer-Verlag Berlin Heidelberg.
Registro:
| Documento: | Artículo |
| Título: | Stability results for the N-dimensional Schiffer conjecture via a perturbation method |
| Autor: | Canuto, B. |
| Filiación: | Conicet, Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Esmeralda 2043, FL, 1602 P.cia de Buenos Aires, Argentina |
| Año: | 2014 |
| Volumen: | 50 |
| Número: | 1-2 |
| Página de inicio: | 305 |
| Página de fin: | 334 |
| DOI: | http://dx.doi.org/10.1007/s00526-013-0637-1 |
| Título revista: | Calculus of Variations and Partial Differential Equations |
| Título revista abreviado: | Calc. Var. Partial Differ. Equ. |
| ISSN: | 09442669 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09442669_v50_n1-2_p305_Canuto |
Referencias:
- Berenstein, C.A., An inverse spectral theorem and its relation to the Pompeiu problem (1980) J. D'anal. Math., 37, pp. 128-144
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- Canuto, B., Rial, D., Local overdetermined linear elliptic problems in Lipschitz domains with solutions changing sign (2009) Rend. Istit. Mat. Univ. Trieste, XL, pp. 1-27
- Canuto, B., A local symmetry result for linear elliptic problems with solutions changing sign (2011) Ann. Inst. H. Poincarè Anal. Non-linéaire, 28, pp. 551-564
- Courant, R., Hilbert, D., (1953) Methods of Mathematical Physics, Vol. I, , New York: Interscience Publishers
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- Segala, F., Stability of the convex Pompeiu sets (1998) Annali Di Mat. Pura E Applicata, CLXXV, pp. 295-306
- Williams, S.A., A partial solution of the Pompeiu problem (1976) Math. Ann., 223, pp. 183-190
- Zalcman, L., Supplementary bibliography to: "A bibliographic survey of the Pompeiu problem", Radon Transform and Tomography (South Hadley, MA) (2000) Contemp. Math., 278, pp. 69-74
Citas:
---------- APA ----------
(2014) . Stability results for the N-dimensional Schiffer conjecture via a perturbation method. Calculus of Variations and Partial Differential Equations, 50(1-2), 305-334.http://dx.doi.org/10.1007/s00526-013-0637-1
---------- CHICAGO ----------
Canuto, B. "Stability results for the N-dimensional Schiffer conjecture via a perturbation method" . Calculus of Variations and Partial Differential Equations 50, no. 1-2 (2014) : 305-334.http://dx.doi.org/10.1007/s00526-013-0637-1
---------- MLA ----------
Canuto, B. "Stability results for the N-dimensional Schiffer conjecture via a perturbation method" . Calculus of Variations and Partial Differential Equations, vol. 50, no. 1-2, 2014, pp. 305-334.http://dx.doi.org/10.1007/s00526-013-0637-1
---------- VANCOUVER ----------
Canuto, B. Stability results for the N-dimensional Schiffer conjecture via a perturbation method. Calc. Var. Partial Differ. Equ. 2014;50(1-2):305-334.http://dx.doi.org/10.1007/s00526-013-0637-1
