Study of global solutions of parabolic equations via a priori estimates III. Equations of p-Laplacian type

• Autorzy: Gary M. Lieberman
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 33
• Numer: 1
• Strony: 199-221

Daty

wydano

1996

Twórcy

autor

Gary M. Lieberman

• Department of Mathematics, Iowa State University, Ames, Iowa 50011, U.S.A.

Bibliografia

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• [3] M. Fila, Boundedness of global solutions for the heat equation with nonlinear boundary conditions, Comm. Math. Univ. Carolin. 30 (1989), 479-484.
• [4] M. Fila, Boundedness of global solutions of nonlinear diffusion equations, J. Differential Equations 98 (1992), 226-240.
• [5] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd ed., Springer, Berlin 1983.
• [6] P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, London, 1985.
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• [8] G. M. Lieberman, The natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva for elliptic equations, Comm. Partial Differential Equations 16 (1991), 311-361.
• [9] G. M. Lieberman, Study of global solutions of parabolic equations via a priori estimates I. Equations with principal elliptic part equal to the Laplacian, Math. Methods Appl. Sci. 16 (1993), 457-474.
• [10] G. M. Lieberman, Study of global solutions of parabolic equations via a priori estimates II. Porous medium equations, Comm. Appl. Nonlinear Anal. 1 (1994), 93-115.
• [11] G. M. Lieberman, Maximum estimates for solutions of degenerate parabolic equations in divergence form, J. Differential Equations 113 (1994), 543-571.
• [12] H. Matano, Asymptotic behavior of solutions of semilinear heat equations on $S^1$, in: Nonlinear Diffusion Equations and Their Equilibrium States, W.-M. Ni, L. A. Peletier and J. Serrin (eds.), Springer, 1988, 139-162.
• [13] L. M. Simon, Interior gradient bounds for non-uniformly elliptic equations, Indiana Univ. Math. J. 25 (1976), 821-855.
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