Attractors of partial differential evolution equations and estimates of their dimension
نویسندگان
چکیده
CONTENTS Introduction 151 § 1. Maximal attractors of semigroups generated by evolution equations 156 § 2. Examples of parabolic equations and systems having a maximal attractor 158 § 3. The Hausdorff dimension of invariant sets 164 § 4. Estimate of the change in volume under the action of shift operators generated by linear evolution equations 167 § 5. An upper bound for the Hausdorff dimension of attractors of semigroups corresponding to evolution equations 172 § 6. A lower bound for the dimension of an attractor 175 § 7. Differentiability of shift operators 177 § 8. Estimates of the Hausdorff dimension of an attractor of a two-/KivioncirmQl Navipr-Stnkfis svstem 183 parabolic equations and parabolic systems 194 §10. Attractors of semigroups having a global Lyapunov function 202 §11. Regular attractors of semigroups having a Lyapunov function 206 References 210
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تاریخ انتشار 2005