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- W2050855084 abstract "This paper addresses a doubly nonlinear parabolic inclusion of the form <p align=center> $mathcal A (u_t)+mathcal B (u)$ ∋ f. <p align=left class=times> Existence of a solution is proved under suitable monotonicity, coercivity, and structure assumptions on the operators $mathcal A $ and $mathcal B$, which in particular are both supposed to be subdifferentials of functionals on $L^2(Omega)$. Since <i> unbounded</i> operators $mathcal A $ are included in the analysis, this theory partly extends Colli & Visintin's work [24]. Moreover, under additional hypotheses on $mathcal B$, uniqueness of the solution is proved. Finally, a characterization of $omega$-limit sets of solutions is given, and we investigate the convergence of trajectories to limit points." @default.
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- W2050855084 date "2007-01-01" @default.
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- W2050855084 title "Well-posedness and long-time behavior for a class of doubly nonlinear equations" @default.
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- W2050855084 doi "https://doi.org/10.3934/dcds.2007.18.15" @default.
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