References
- Mielke A. The complex Ginzburg-Landau equation on large and unbounded domains: Sharper bounds and attractors. Nonlinearity. 1997;10:199–222.
- Mielke A, Schneider G. Attractors for modulation equations on unbounded domains-existence and comparison. Nonlinearity. 1995;8:743–768.
- Carvalho AN, Dlotko T. Partly dissipative systems in uniformly local spaces. Colloq. Math. 2004;100:221–242.
- Arrieta JM, Cholewa JW, Dlotko T, Rodriguez-Bernal A. Dissipative parabolic equations in locally uniform spaces. Math. Nachrichten. 2007;280:1643–1663.
- Yang M, Sun C. Dynamics of strongly damped wave equations in locally uniform spaces: Attractors and asymptotic regularity. Transaction Amer. Math. Soc. 2009;361:1069–1101.
- Arrieta JM, Cholewa JW, Dlotko T, Rodriguez-Bernal A. Linear parabolic equations in locally uniform spaces. Math. Models Methods Appl. Sci. 2004;14:253–293.
- Arrieta JM, Cholewa JW, Dlotko T, Rodriguez-Bernal A. Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains. Nonlinear Anal. TMA. 2004;56:515–554.
- Fife PC. Mathematical Aspects of Reacting and Diffusing Systems. New York, NY: Springer-Verlag; 1979.
- Martínez C, Sanz M, Periago F. Distributional fractional powers of the Laplacean. Riesz potentials. Studia Math. 1999;135:253–271.
- Martínez Carrecedo C, Sanz Alix M. The Theory of Fractional Powers of Operators. Amsterdam: Elsevier; 2001.
- Henry D. Geometric Theory of Semilinear Parabolic Equations. Berlin: Springer-Verlag; 1981.
- Cholewa JW, Dlotko T. Global Attractors in Abstract Parabolic Problems. Cambridge: Cambridge University Press; 2000.
- G. Karch, Nonlinear evolution equations with anomalous diffusion, in Qualitative Properties of Solutions to Partial Differential Equations, J. Nĕcas, ed., Center for Mathematical Modeling, Charles University, Prague, 2009, pp. 25–65.
- Szarski J. Differential Inequalities. Warszawa: PWN; 1967.
- Córdoba A, Córdoba D. A pointwise estimate for fractionary derivatives with applications to partial differential equations. PNAS. 2003;100:15316–15317.
- T. Dlotko, M.B. Kania, C. Sun, Pseudodifferential parabolic equations; two examples, submitted for publication, 2012.
- Droniou J, Imbert C. Fractal first-order partial differential equations. Arch. Rational Mech. Anal. 2006;182:299–331.
- Babin AV, Vishik MI. Attractors of Evolution Equations. Amsterdam: North-Holland; 1992.
- Samko SG, Kilbas AA, Marichev OI. Fractional Integrals and Derivatives, Theory and Applications. Yverdon: Gordon and Breach; 1993.
- Balakrishnan AV. Fractional powers of closed operators and the semigroups generated by them. Pacific J. Math. 1960;10:419–437.
- Komatsu H. Fractional powers of operators. Pacific J. Math. 1966;19:285–346.
- Komatsu H. Fractional powers of operators, II. Interpolation spaces. Pacific J. Math. 1967;21:89–111.
- Lunardi A. An Introduction to Interpolation Theory, Dottorato di Ricerca in Matematica, consorzio. February: Milano-Insubria-Parma-Trieste; 2007.
- Yosida K. Functional Analysis. Berlin: Springer-Verlag; 1979.
- G. Raugel, Global attractors in partial differential equations, in Handbook of Dynamical Systems, B. Fiedler, ed., Elsevier, Amsterdam 2002, Vol. 2, pp. 885–982.