A class of one-dimensional degenerate parabolic equations
Časopis pro pěstování matematiky, Tome 111 (1986) no. 3, pp. 294-303

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
DOI : 10.21136/CPM.1986.108153
Classification : 35K57
Nohel, John A. A class of one-dimensional degenerate parabolic equations. Časopis pro pěstování matematiky, Tome 111 (1986) no. 3, pp. 294-303. doi: 10.21136/CPM.1986.108153
@article{10_21136_CPM_1986_108153,
     author = {Nohel, John A.},
     title = {A class of one-dimensional degenerate parabolic equations},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {294--303},
     year = {1986},
     volume = {111},
     number = {3},
     doi = {10.21136/CPM.1986.108153},
     mrnumber = {853793},
     zbl = {0679.35049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1986.108153/}
}
TY  - JOUR
AU  - Nohel, John A.
TI  - A class of one-dimensional degenerate parabolic equations
JO  - Časopis pro pěstování matematiky
PY  - 1986
SP  - 294
EP  - 303
VL  - 111
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1986.108153/
DO  - 10.21136/CPM.1986.108153
LA  - en
ID  - 10_21136_CPM_1986_108153
ER  - 
%0 Journal Article
%A Nohel, John A.
%T A class of one-dimensional degenerate parabolic equations
%J Časopis pro pěstování matematiky
%D 1986
%P 294-303
%V 111
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1986.108153/
%R 10.21136/CPM.1986.108153
%G en
%F 10_21136_CPM_1986_108153

[B] Bateman Manuscript Project. A. Erdélyi, ed., McGraw Hill, 1954.

[BCPa] P. Benilan M. G. Crandall, A. Pazy: $M$-Аccretive operators. to appear.

[BCPi] P. Benilan M. G. Crandall, M. Pierre: Solutions of the porous medium equation in Rn under optimal conditions on initial values. Indiana Univ. Мath. J. 33 (1984), 51-87. | MR

[BMPe] M. Bertsch P. de Mottoni, L. A. Peletier: The Stefan problem with heating: Аppearance and disappearance of a mushy region. Math. Inst. Univ. of Leiden, The Netherlands, Report No. 18, Аugust, 1984.

[BO] C. Bender, S. Orszag: Аdvanced Mathematical Methods for Ѕcientists and Engineers. McGraw Hill, 1978 | MR

[E] L. C. Evans: Аpplication of nonlinear semigroup theory to certain partial differential equations. in: Nonlinear Evolution Equations, M. G. Сrandall, ed., Аcademic Press, 1952. | MR

[FP1] A. Fasano, M. Primicerio: General free boundary problems for the heat equation, I. J. Math. Аnal. Аppl. 57 (1977), 694-723. | MR | Zbl

[FP2] A. Fasano, M. Primicerio: General free boundary problems for the heat equation, II. J. Math. Аnal. Аppl. 58 (1977), 202-231. | MR | Zbl

[H] K. Höllig: Existence of infinitely many solutions for a forward backward heat equation. Trans. Аmer. Math. Ѕoc. 278 (1983), 299-316. | MR

[HN1] K. Höllig, J. A. Nohel: А diffusion equation with a nonmonotone constitutive function. Proceedings NАTO/LONDON Math. Ѕoc. Сonf. on Ѕystems of Nonlinear Partial Differential Equations, Ј. M. Ball, ed., Reidel Publishing Сo. (1983), 409-422.

[HN2] K. Höllig, J. A. Nohel: А nonlinear integral equation occurring in a singular free boundary problem. Trans. Аmer. Math. Ѕoc. 283 (1984), 145-155. | MR

[HNЗ] K. Höllig, J. A. Nohel: А singular free boundary problem. MRС Technical Ѕummary Report # 2582, Mathematics Research Сenter, University of Wisconsin-Madison.

[KN] D. Kinderlehrer, L. Nirenberg: Regularity in free boundary pгoblems. Аnnali dela ЅNЅ4 (1977), З7З-З91. | MR

[Ѕ] D. Schaeffer: А new proof of the infinite differentiability of the free boundary in the Ѕtefan problem. Ј. Diff. Equa. 20 (1976), 266-269. | MR

[V1] J. L. Vázquez: Degenerate Parabolic Problems. IMА, University of Minnesota (Preprint)

[V2] J. L. Vázquez: The interfaces of one-dimensional flows in porous media. Trans. Аmer. Math. Ѕoc. 285 (1984), 111-131. | MR

Cité par Sources :