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Registro:

Documento: Artículo
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
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
Volumen:27
Número:5
Página de inicio:589
Página de fin:603
DOI: http://dx.doi.org/10.1016/0362-546X(95)00137-K
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
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