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Parabolic equations in locally uniform spaces

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Publication Date
2005
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BIRKHAUSER VERLAG AG
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Conference on Nonlinear Elliptic and Parabolic Problems. Zurich, SWITZERLAND. JUN 28-30, 2004.
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J.M. Arrieta, J.W. Cholewa, T. Dlotko, A. Rodríguez-Bernal, “Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains”. Nonlinear Analysis TMA. 56, 515–554 (2004). J.M. Arrieta, J.W. Cholewa, T. Dlotko, A. Rodríguez-Bernal, “Linear parabolic equations in locally uniform spaces”. Math. Mod. Meth. Appl. Sci. 14, 253–293 (2004). H. Amann, M. Hieber, G. Simonett, Bounded H∞-calculus for elliptic operators, Diff. Int. Eqns 3, 613–653 (1994). J.M. Arrieta, A. Rodríguez-Bernal, in preparation. A.V. Babin, M.I. Vishik, Attractors of partial differential evolution equations in unbounded domain, Proc. Roy. Soc. Edinburgh 116A, 221–243 (1990). D. Daners, Heat kernel estimates for operators with boundary conditions, Math. Nachr. 217, 13–41 (2000). M.A. Efendiev, S.V. Zelik, The attractor for a nonlinear reaction-diffusion system in an unbounded domain, Comm. Pure Appl. Math. 54, 625–688 (2001). S. Merino, On the existence of the compact global attractor for semilinear reaction diffusion systems on ℝN, J. Diff. Eqns 132, 87–106 (1996). B. Simon, Schrödinger semigroups, Bull. Amer. Math. Soc. 7, 447–526 (1982).