@article{ASNSP_1999_4_28_1_153_0,
author = {Dal Passo, Roberta and Garcke, Harald},
title = {Solutions of a fourth order degenerate parabolic equation with weak initial trace},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 28},
number = {1},
year = {1999},
pages = {153-181},
zbl = {0945.35049},
mrnumber = {1679081},
language = {en},
url = {http://www.numdam.org/item/ASNSP_1999_4_28_1_153_0}
}
Dal Passo, Roberta; Garcke, Harald. Solutions of a fourth order degenerate parabolic equation with weak initial trace. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Volume 28 (1999) no. 1, pp. 153-181. http://www.numdam.org/item/ASNSP_1999_4_28_1_153_0/
[BBD] - - , Nonnegative solutions of a fourth order nonlinear degenerate parabolic equation, Arch. Rational Mech. Anal. 129 (1995), 175-200. | MR 1328475 | Zbl 0827.35065
[B1] , Viscous flows, fourth order nonlinear degenerate parabolic equations and singular elliptic problems, In: "Free boundary problems: theory and applications", (J.I. Diaz, M.A. Herrero, A. Linan and J. L. Vazquez Editors) Pitman Research Notes in Mathematics 323, Longman, Harlow, 1995, pp. 40-56. | MR 1342325 | Zbl 0839.35102
[B2] , Finite speed of propagation and continuity of the interface for thin viscous flows, Adv. Differential Equations 1 (1998) 337-368. | MR 1401398 | Zbl 0846.35058
[B3] , Integral inequalities with applications to nonlinear degenerate parabolic equations, In: "Nonlinear Problems in Applied Mathematics", (Angell, Cook, Kleinman and Olmstad Editors) Volume in honour of Ivar Stakgold, SIAM, Philadelphia (1996) 57-65. | Zbl 0889.35054
[B4] , Finite speed of propagation for thin viscous flows when 2 < n < 3, C.R. Acad. Sci. Paris, Sér. I Math. 322 (1996), 1169-1174. | MR 1396660 | Zbl 0853.76018
[BF] - , Higher order nonlinear degenerate parabolic equations, J. Differential Equations 83 (1990) 179-206. | MR 1031383 | Zbl 0702.35143
[BPW] - - , Source type solutions of a fourth order nonlinear degenerate parabolic equation, Nonlinear Anal. 18 (1992) 217-234. | MR 1148286 | Zbl 0778.35056
[BDGG] - - - , The thin viscous flow equation in higher space dimensions, Adv. Differential Equations 3 (1998) 417-440. | MR 1751951 | Zbl 0954.35035
[BP] - , The lubrication approximation for thin viscous films: regularity and long time behaviour of weak solutions, Comm. Pure Appl. Math. 49 (1996) 85-123. | MR 1371925 | Zbl 0863.76017
[DGG] - - , On a fourth order degenerate parabolic equation: global entropy estimates and qualitative behaviour of solutions, SIAM J. Math. Anal. 29 (1998) 321-342. | MR 1616558 | Zbl 0929.35061
[EG] - , On the Cahn-Hilliard equation with degenerate mobility, SIAM J. Math. Anal. 27 (1996) 404-423. | MR 1377481 | Zbl 0856.35071
[EvG] - , "Measure Theory and Fine Properties of Functions", CRC Press, Boca Raton - Ann Arbor - London, 1992. | MR 1158660 | Zbl 0804.28001
[FB] - , Source-type solutions to thin-film equations in higher dimensions, European J. Appl. Math. 8 (1997) 507-524. | MR 1479525 | Zbl 0894.76019
[Ga] , Ulteriori proprietà di alcune classi difunzioni in più variabili, Ricerche Mat. Napoli 8 (1959) 24-51. | MR 109295 | Zbl 0199.44701
[G] , Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening, Z. Anal. Anwendungen 14 (1995) 541-574. | MR 1362530 | Zbl 0835.35061
[HS] - , The thin film equation with 2 < n < 3: finite speed of propagation in terms of the L 1-norm, Adv. Differential Equations (to appear). | Zbl 0953.35072
[Ni] , An extended interpolation inequality, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 20 (1966) 733-737. | Numdam | MR 208360 | Zbl 0163.29905
[YG] - , Solutions with compact support to the Cauchy problem of an equation modeling the motion of viscous droplets, Z. Angew. Math. Phys. 47 (1966) 659-671. | MR 1420850 | Zbl 0862.35094
