@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}, pages = {153--181}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 28}, number = {1}, year = {1999}, mrnumber = {1679081}, zbl = {0945.35049}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1999_4_28_1_153_0/} }
TY - JOUR AU - Dal Passo, Roberta AU - Garcke, Harald TI - Solutions of a fourth order degenerate parabolic equation with weak initial trace JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1999 SP - 153 EP - 181 VL - 28 IS - 1 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1999_4_28_1_153_0/ LA - en ID - ASNSP_1999_4_28_1_153_0 ER -
%0 Journal Article %A Dal Passo, Roberta %A Garcke, Harald %T Solutions of a fourth order degenerate parabolic equation with weak initial trace %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1999 %P 153-181 %V 28 %N 1 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1999_4_28_1_153_0/ %G en %F 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, Tome 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 | Zbl
- - ,[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 | Zbl
,[B2] Finite speed of propagation and continuity of the interface for thin viscous flows, Adv. Differential Equations 1 (1998) 337-368. | MR | Zbl
,[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
,[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 | Zbl
,[BF] Higher order nonlinear degenerate parabolic equations, J. Differential Equations 83 (1990) 179-206. | MR | Zbl
- ,[BPW] Source type solutions of a fourth order nonlinear degenerate parabolic equation, Nonlinear Anal. 18 (1992) 217-234. | MR | Zbl
- - ,[BDGG] The thin viscous flow equation in higher space dimensions, Adv. Differential Equations 3 (1998) 417-440. | MR | Zbl
- - - ,[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 | Zbl
- ,[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 | Zbl
- - ,[EG] On the Cahn-Hilliard equation with degenerate mobility, SIAM J. Math. Anal. 27 (1996) 404-423. | MR | Zbl
- ,[EvG] Measure Theory and Fine Properties of Functions", CRC Press, Boca Raton - Ann Arbor - London, 1992. | MR | Zbl
- , "[FB] Source-type solutions to thin-film equations in higher dimensions, European J. Appl. Math. 8 (1997) 507-524. | MR | Zbl
- ,[Ga] Ulteriori proprietà di alcune classi difunzioni in più variabili, Ricerche Mat. Napoli 8 (1959) 24-51. | MR | Zbl
,[G] Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening, Z. Anal. Anwendungen 14 (1995) 541-574. | MR | Zbl
,[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
- ,[Ni] An extended interpolation inequality, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 20 (1966) 733-737. | Numdam | MR | Zbl
,[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 | Zbl
- ,