Registro:
Documento: |
Artículo
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Título: | Nonnegative solutions of ut = Δ(u - 1)+ : Regularity and uniqueness for the cauchy problem |
Autor: | Korten, M.K. |
Filiación: | IAM (CONICET), Viamonte 1636, 1055 Buenos Aires, Argentina Departamento de Matemática, FCEyN, UBA, Cíudad Universitaria, Pab. No. 1, Nuñez, 1428 Buenos Aires, Argentina
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Palabras clave: | Local nonnegative distributional solutions; Measures as initial conditions; Nonlinear degenerate parabolic equations; Optimal uniqueness conditions; Boundary conditions; Cylinders (shapes); Estimation; Integration; Numerical methods; Optimization; Set theory; Fubini theorem; Local nonnegative distributional solutions; Nonlinear degenerate parabolic equations; Optimal uniqueness conditions; Regularity theory; Stefan type problems; Nonlinear equations |
Año: | 1996
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Volumen: | 27
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Número: | 5
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Página de inicio: | 589
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Página de fin: | 603
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DOI: |
http://dx.doi.org/10.1016/0362-546X(95)00137-K |
Título revista: | Nonlinear Analysis, Theory, Methods and Applications
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Título revista abreviado: | Nonlinear Anal Theory Methods Appl
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ISSN: | 0362546X
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CODEN: | NOAND
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v27_n5_p589_Korten |
Referencias:
- Andreucci, D., Korten, M.K., Initial traces of solutions to a one-phase Stefan problem in an infinite strip (1993) Revta Mat. Ibero., 9 (2), pp. 315-332
- Korten, M.K., Existencia de trazas de soluciones débiles no negativas de ut = Δ(u - 1)+ (1989) Revta Un. Mat. Argentina, , communication to the XXXIX Reunión Anual de la UMA, Oct. (to appear)
- Korten, M.K., Soluciones distribucionales de ut = Δ(u - 1)+ (1990) Revta Un. Mat. Argentina, , communication to the XL Reunión Anual de la UMA, Sept. (to appear)
- Pierre, M., Uniqueness of the solution of ut - Δφ(u) = 0 with initial datum a measure (1982) Nonlinear Analysis, 6, pp. 175-187
- Dahlberg, B.E.J., Kenig, C.E., Non-negative solutions of generalized porous medium equation (1986) Revta Mat. Ibero., 2 (3), pp. 267-305
- Bouillet, J.E., Korten, M.K., Márquez, V., Singular limits and the "mesa" problem (1988) Trab. de Matemática, , IAM - CONICET, preprint, No. 133, June
- Dahlberg, B.E.J., Kenig, C.E., Weak solutions of the porous medium equation Trans. Am. Math. Soc., , to appear
- Friedman, A., (1964) Partial Differential Equations of Parabolic Type, , Prentice-Hall, New Jersey
- Bouillet, J.E., Signed solutions to diffusion-heat conduction equations (1986) Trab. de Matemática, , IAM - CONICET, preprint, No. 101, Dec
- (1987) Free Boundary Problems: Theory and Applications, Proc. Int. Colloq., Irsee-Ger., 2
- (1990) Pitman Res. Notes Math. Ser., 186, pp. 480-485. , Pitman, New York
Citas:
---------- APA ----------
(1996)
. Nonnegative solutions of ut = Δ(u - 1)+ : Regularity and uniqueness for the cauchy problem. Nonlinear Analysis, Theory, Methods and Applications, 27(5), 589-603.
http://dx.doi.org/10.1016/0362-546X(95)00137-K---------- CHICAGO ----------
Korten, M.K.
"Nonnegative solutions of ut = Δ(u - 1)+ : Regularity and uniqueness for the cauchy problem"
. Nonlinear Analysis, Theory, Methods and Applications 27, no. 5
(1996) : 589-603.
http://dx.doi.org/10.1016/0362-546X(95)00137-K---------- MLA ----------
Korten, M.K.
"Nonnegative solutions of ut = Δ(u - 1)+ : Regularity and uniqueness for the cauchy problem"
. Nonlinear Analysis, Theory, Methods and Applications, vol. 27, no. 5, 1996, pp. 589-603.
http://dx.doi.org/10.1016/0362-546X(95)00137-K---------- VANCOUVER ----------
Korten, M.K. Nonnegative solutions of ut = Δ(u - 1)+ : Regularity and uniqueness for the cauchy problem. Nonlinear Anal Theory Methods Appl. 1996;27(5):589-603.
http://dx.doi.org/10.1016/0362-546X(95)00137-K