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Documento: Artículo
Título:A diffusion problem with a measure as initial datum
Autor:Wolanski, N.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina
Año:1984
Volumen:102
Número:2
Página de inicio:365
Página de fin:384
DOI: http://dx.doi.org/10.1016/0022-247X(84)90177-X
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v102_n2_p365_Wolanski.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v102_n2_p365_Wolanski

Referencias:

  • Aronson, Nonnegative solutions of linear parabolic equations (1968) Ann. Sc. Norm. Sup. Pisa Classe di Scienze, 22, pp. 607-694
  • Bénilan, Brézis, Crandall, A semilinear equation in L1(RN) (1975) Ann. Sc. Norm. Sup. Pisa, Ser. IV, 2, pp. 523-555
  • J. E. Bouillet and C. Atkinson, A generalized diffusion equation: Radial symmetries and comparison theorems, J. Math. Anal. Appl., in press; Brézis, Crandall, Uniqueness of solutions of the initial-value problem for ut − Δϑ(u) = 0 (1979) J. Math. Pures Appl, 58, pp. 153-163
  • Crandall, Semigroups of nonlinear transformations in Banach spaces (1971) Contributions to Nonlinear Functional Analysis, , E Zarantonello, Academic Press, New York
  • Crandall, Pierre, Regularizing Effects for ut − Δϑ(u) = 0 (1981) MRC Technical Summary Report 2166
  • Evans, Differentiability of a nonlinear semigroup in L1 (1977) J. Math. Anal. Appl., 60 (3), pp. 703-715
  • Kamin, Source-type solutions for equations of nonstationary filtration (1978) J. Math. Anal. Appl., 64, pp. 263-276
  • Pierre, Uniqueness of the Solutions of ut − Δϑ(u) = 0 with Initial Datum a Measure (1981) MRC Technical Summary Report 2171
  • Redheffer, Walter, The total variation of solutions of parabolic differential equations and a Maximum Principle in unbounded domains (1974) Math. Ann., 209, pp. 57-67
  • Vázquez, Large-time behaviour of the solutions of the one-dimensional porous media equation (1981) Proceedings of the Symposium on Free Boundary Problems: Theory and Applications, , Montecatini, Italy, 2nd ed., Lecture Notes in Mathematics, Springer-Verlag, Berlin/New York/Heidelberg, in press
  • Widder, Positive temperature on the infinite rod (1944) Transactions of the American Mathematical Society, 55, pp. 85-95
  • N. I. Wolanski, Degenerate nonlinear parabolic equations. Comparison and existence theorems, submitted; Zel'dovich, Raizer, (1969) Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, 2. , 2nd ed., Academic Press, New York
  • Ladyzenskaja, Solonnikov, Ural'ceva, Linear and Quasilinear Equations of Parabolic Type (1968) Translations of Mathematical Monographs, 23. , 2nd ed., Amer. Math. Soc, Providence, R. I
  • Brezis, (1973) Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert, , North-Holland, Amsterdam

Citas:

---------- APA ----------
(1984) . A diffusion problem with a measure as initial datum. Journal of Mathematical Analysis and Applications, 102(2), 365-384.
http://dx.doi.org/10.1016/0022-247X(84)90177-X
---------- CHICAGO ----------
Wolanski, N. "A diffusion problem with a measure as initial datum" . Journal of Mathematical Analysis and Applications 102, no. 2 (1984) : 365-384.
http://dx.doi.org/10.1016/0022-247X(84)90177-X
---------- MLA ----------
Wolanski, N. "A diffusion problem with a measure as initial datum" . Journal of Mathematical Analysis and Applications, vol. 102, no. 2, 1984, pp. 365-384.
http://dx.doi.org/10.1016/0022-247X(84)90177-X
---------- VANCOUVER ----------
Wolanski, N. A diffusion problem with a measure as initial datum. J. Math. Anal. Appl. 1984;102(2):365-384.
http://dx.doi.org/10.1016/0022-247X(84)90177-X