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Attractors for equations of mathematical physics Book

Attractors for equations of mathematical physics
Attractors for equations of mathematical physics, One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behavior of the solutions to these equations when time is large or tends to infinity. The related important questions concern the stability o, Attractors for equations of mathematical physics has a rating of 3 stars
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Attractors for equations of mathematical physics, One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behavior of the solutions to these equations when time is large or tends to infinity. The related important questions concern the stability o, Attractors for equations of mathematical physics
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  • Attractors for equations of mathematical physics
  • Written by author Vladmire Chepyzhov,mark Vishik
  • Published by Providence, R.I. : American Mathematical Society, c2002., 2002/01/10
  • One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behavior of the solutions to these equations when time is large or tends to infinity. The related important questions concern the stability o
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Introduction 1
Pt. 1 Attractors of Autonomous Equations 15
Ch. I Attractors of Autonomous Ordinary Differential Equations 17
Ch. II Attractors of Autonomous Partial Differential Equations 27
Ch. III Dimension of Attractors 51
Pt. 2 Attractors of Non-autonomous Equations 77
Ch. IV Processes and Attractors 79
Ch. V Translation Compact Functions 95
Ch. VI Attractors of Non-autonomous Partial Differential Equations 107
Ch. VII Semiprocesses and Attractors 129
Ch. VIII Kernels of Processes 149
Ch. IX Kolmogorov [epsilon]-Entropy of Attractors 163
Pt. 3 Trajectory Attractors 197
Ch. X Trajectory Attractors of Autonomous Ordinary Differential Equations 199
Ch. XI Attractors in Hausdorff Spaces 211
Ch. XII Trajectory Attractors of Autonomous Equations 219
Ch. XIII Trajectory Attractors of Autonomous Partial Differential Equations 229
Ch. XIV Trajectory Attractors of Non-autonomous Equations 259
Ch. XV Trajectory Attractors of Non-autonomous Partial Differential Equations 269
Ch. XVI Approximation of Trajectory Attractors 299
Ch. XVII Perturbation of Trajectory Attractors 305
Ch. XVIII Averaging of Attractors of Evolution Equations with Rapidly Oscillating Terms 311
App. A Proofs of Theorems II.1.4 and II.1.5 345
App. B Lattices and Coverings 349
Bibliography 353
Index 361


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