Non-homogeneous boundary conditions for a fourth-order diffusion equation
The existence of classical solutions to a one-dimensional non-linear fourth-order elliptic equation arising in quantum semiconductor modeling is proved for a class of non-homogeneous boundary conditions using degree theory. Furthermore, some non-existence results for other classes of boundary condit...
Guardado en:
| Autor principal: | |
|---|---|
| Otros Autores: | , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2008
|
| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 03983caa a22004457a 4500 | ||
|---|---|---|---|
| 001 | PAPER-22465 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205402.0 | ||
| 008 | 190411s2008 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-39049110550 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Amster, P. | |
| 245 | 1 | 0 | |a Non-homogeneous boundary conditions for a fourth-order diffusion equation |
| 260 | |c 2008 | ||
| 270 | 1 | 0 | |m Amster, P.; Departamento de Matemática, Cuidad Universitaria, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina; email: pamster@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Ancona, M., Iafrate, G., Quantum correction to the equation of state of an electron gas in a semiconductor (1989) Phys. Rev. B, 39, pp. 9536-9540 | ||
| 504 | |a Bleher, P., Lebowitz, J., Speer, E., Existence and positivity of solutions of a fourth-order nonlinear PDE describing interface fluctuations (1994) Commun. Pure Appl. Math., 47, pp. 923-942 | ||
| 504 | |a Caceres, M., Carrillo, J.A., Toscani, G., Long-time behavior for a nonlinear fourth order parabolic equation (2005) Trans. Amer. Math. Soc., 357, pp. 1161-1175 | ||
| 504 | |a Derrida, B., Lebowitz, J., Speer, E., Spohn, H., Fluctuations of a stationary nonequilibrium interface (1991) Phys. Rev. Lett., 67, pp. 165-168 | ||
| 504 | |a Gualdani, M.P., Jüngel, A., Toscani, G., A nonlinear fourth-order parabolic equation with non-homogeneous boundary conditions (2006) SIAM J. Math. Anal., 37, pp. 1761-1779 | ||
| 504 | |a A. Jüngel, D. Matthes, The Derrida-Lebowitz-Speer-Spohn equation: existence, non-uniqueness, and decay rates of the solutions, SIAM J. Math. Anal., in press; Jüngel, A., Pinnau, R., Global non-negative solutions of a nonlinear fourth-oder parabolic equation for quantum systems (2000) SIAM J. Math. Anal., 32, pp. 760-777 | ||
| 504 | |a Lloyd, N., (1978) Degree Theory, , Cambridge University Press, Cambridge | ||
| 520 | 3 | |a The existence of classical solutions to a one-dimensional non-linear fourth-order elliptic equation arising in quantum semiconductor modeling is proved for a class of non-homogeneous boundary conditions using degree theory. Furthermore, some non-existence results for other classes of boundary conditions are presented. To cite this article: P. Amster et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008). © 2007 Académie des sciences. |l eng | |
| 536 | |a Detalles de la financiación: Austrian Science Fund | ||
| 536 | |a Detalles de la financiación: California Department of Fish and Game, JU 359/7, JU 359/5 | ||
| 536 | |a Detalles de la financiación: The authors acknowledge partial support from the DAAD-Secyt Project. A.J. and D.M. have been supported by the DFG, grants JU 359/5 and JU 359/7, by the FWF and the ESF Program GLOBAL. | ||
| 593 | |a Departamento de Matemática, Cuidad Universitaria, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina | ||
| 593 | |a Institut für Analysis und Scientific Computing, TU Wien, Wiedner Hauptstr. 8-10, A-1040 Wien, Austria | ||
| 593 | |a Departimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy | ||
| 700 | 1 | |a Jüngel, A. | |
| 700 | 1 | |a Matthes, D. | |
| 773 | 0 | |d 2008 |g v. 346 |h pp. 143-148 |k n. 3-4 |p C. R. Math. |x 1631073X |t Comptes Rendus Mathematique | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-39049110550&doi=10.1016%2fj.crma.2007.12.001&partnerID=40&md5=16bf43e179ac76c5bb180029de3fdde8 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.crma.2007.12.001 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_1631073X_v346_n3-4_p143_Amster |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1631073X_v346_n3-4_p143_Amster |y Registro en la Biblioteca Digital |
| 961 | |a paper_1631073X_v346_n3-4_p143_Amster |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 83418 | ||