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References
D. Aronson, M. G. Crandall and L. A. Peletier; Stabilization of solutions of a degenerate nonlinear diffusion problem, Nonlinear Analysis TMA 6, 1001–1022 (1982).
H. Attouch and A. Damlamian; On multivalued evolution equations in Hilbert spaces, Israel J. Math. 12, 373–390 (1972).
M. Birolli; Sur un équation d'évolution multivoque et non monotone dans un espace de Hilbert, Rend. Sem. Mat. Univ. Padova 52, 313–331 (1974).
H. Brézis; Opérateurs Maximaux Monotones et Semi-Groupes de Contractions dans les Espaces de Hilbert, Amsterdam: North-Holland Publ. Co., 1973.
H. Fujita and T. Kato; On the Navier-Stokes initial value problem, I. Arch. Rational Mech. Anal. 16, 269–315 (1970).
Y. Koi and J. Watanabe; On nonlinear evolution equations with a difference term of subdifferentials, Proc. Japan Acad. 52, 413–416 (1976).
Y. Kōmura; Nonlinear semigroups in Hilbert space, J. Math. Soc. Japan 19, 493–507 (1967).
H. A. Levine and P. Sacks; Some existence and nonexistence theorems for solutions of degenerate parabolic equations, J. Differential Equations 52, 135–161 (1984).
M. Ôtani; Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems, J. Differential Equations 46, 268–299 (1982).
M. Ôtani; Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Periodic problems, J. Differential Equations 54, 248–273 (1984).
I. Segal; Nonlinear semigroups, Annals of Math. 8, 339–364 (1963).
M. Tsutsumi; Existence and nonexistence of global solutions for nonlinear parabolic equations, Publ. RIMS Kyoto Univ. 8, 211–229 (1972).
K. Yosida; Functional Analysis, Springer-Verlag, 1980.
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Ôtani, M. (1993). A priori estimates for some nonlinear parabolic equations via lyapunov functions. In: Komatsu, H. (eds) Functional Analysis and Related Topics, 1991. Lecture Notes in Mathematics, vol 1540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085489
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DOI: https://doi.org/10.1007/BFb0085489
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