## Ecuatii Neliniare de Evolutie Si Aplicatii (Google eBook) |

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according to Theorem assumptions asymptotic behaviour Banach space Barbu behaviour of solutions Bibliographical note boundary conditions bounded sets Cauchy problem Chapter clearly cluster point completes the proof concludes the proof Consequently consider converges strongly converges weakly convex and LSC convex set deduce demipositive differential equations easy equivalent evolution equations exists a unique fact follows hand Hence Hilbert space holds implies inequality lim sup linear LSC convex function maximal mono maximal monotone operator Moreover nonempty nonincreasing nonlinear norm obtain Obviously Pazy possibly multivalued problem 4.1 proof is complete proof of Theorem proper LSC convex Proposition 1.1 relatively compact Remark result satisfies scalar product semigroup sequence single-valued solution of problem strong topology strongly in H strongly monotone subdifferential sufficient taking into account Theorem 4.1 theory unique solution verifies virtue of Theorem weak cluster point weak convergence weak solution weak topology

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Page ix - ... into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another. The Mathematics and Its Applications programme tries to make available a careful selection of books which fit the philosophy outlined above. With such books, which are stimulating rather than definitive, intriguing rather than encyclopaedic, we hope to contribute something towards better communication among the practitioners in diversified fields.

Page 336 - On the asymptotic behavior of nonlinear semigroups and the range of accretive operators', J.

Page x - ... had on the development of another. The Mathematics and Its Applications programme tries to make available a careful selection of books which fit the philosophy outlined above. With such books, which are stimulating rather than definitive, intriguing rather than encyclopaedic, we hope to contribute something towards better communication among the practitioners in diversified fields. It is...

Page 336 - Some conditions for weak convergence to equilibrium of nonlinear contraction semigroups. J.