Geodesic
On existence of the weak solution for nonlinear diffusion equation
Applications of Mathematics, Tome 36 (1991) no. 1, pp. 9-20

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MR Zbl
The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equation with nonhomogeneous mixed boundary conditions.
The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equation with nonhomogeneous mixed boundary conditions.
DOI : 10.21136/AM.1991.104440
Classification : 35A15, 35K57, 35K65, 65N40
Keywords: nonlinear diffusion; method of lines; bounded weak solutions; nonhomogeneous mixed boundary conditions; initial-boundary value problem 
Zeman, Juraj. On existence of the weak solution for nonlinear diffusion equation. Applications of Mathematics, Tome 36 (1991) no. 1, pp. 9-20. doi: 10.21136/AM.1991.104440
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[1] H. W. Alt S. Luckhaus: Quasilinear elliptic-parabolic differential equations. Math. Z. 183, 311-341 (1983). | DOI | MR

[2] J. Kačur: Method of Rothe in evolution equations. Teubner-Texte zur Mathematik, 80, Leipzig, 1985. | MR

[3] S. Fučík A. Kufner: Nonlinear Differential Equations. Amsterdam-Oxford-New Nork, Elsevier 1980. | MR

[4] J. Kačur: On boundedness of the weak solution for some class of quasilinear partial differential equations. Časopis pěst. mat. 98 (1973), 43-55. | MR

[5] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague, 1967. | MR

[6] J. Filo: On solutions of a perturbed fast diffusion equation. Aplikace matematiky 32, 1987, 364-380. | MR | Zbl

[7] J. L. Lions: Quelques méthodes de résolution des problémes aux limites non linéaires. Russian translation, Moskva 1972. | Zbl

[8] H. Gajewski K. Gröger K. Zacharias: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen. Akademie-Verlag, Berlin, 1974. | MR

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