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140501s2002 si o 000 0 eng d |
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|a MHW
|b eng
|e pn
|c MHW
|d EBLCP
|d OCLCO
|d DEBSZ
|d OCLCQ
|d ZCU
|d MERUC
|d U3W
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|a 1086419452
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|a 9789812777294
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|a 9812777296
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|z 9812380264
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|z 9789812380265
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|a (OCoLC)879023495
|z (OCoLC)1086419452
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| 050 |
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4 |
|a QA377
|b .I777 2002
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| 049 |
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|a HCDD
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| 100 |
1 |
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|a Ito, Kazufumi.
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| 245 |
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|a Evolution Equations and Approximations.
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| 260 |
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|a Singapore :
|b World Scientific Publishing Company,
|c 2002.
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| 300 |
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|a 1 online resource (518 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Series on Advances in Mathematics for Applied Sciences
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| 588 |
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|a Print version record.
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| 520 |
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|a This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems. The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and th.
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| 505 |
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|a Preface ; Chapter 1. Dissipative and Maximal Monotone Operators ; 1.1 Duality mapping and directional derivatives of norms ; 1.2 Dissipative operators ; 1.3 Properties of m-dissipative operators ; 1.4 Perturbation results for m-dissipative operators.
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| 505 |
8 |
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|a 1.5 Maximal monotone operators 1.6 Convex functionals and subdifferentials ; Chapter 2. Linear Semigroups ; 2.1 Examples and basic definitions ; 2.2 Cauchy problems and mild solutions ; 2.3 The Hille-Yosida theorem ; 2.4 The Lumer-Phillips theorem ; 2.5 A second order equation.
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| 505 |
8 |
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|a Chapter 3. Analytic Semigroups 3.1 Dissipative operators and sesquilinear forms ; 3.2 Analytic semigroups ; Chapter 4. Approximation of Co-Semigroups ; 4.1 The Trotter-Kato theorem ; 4.2 Approximation of nonhomogeneous problems ; 4.3 Variational formulations of the Trotter-Kato theorem.
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| 505 |
8 |
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|a 4.4 An approximation result for analytic semigroups Chapter 5. Nonlinear Semigroups of Contractions ; 5.1 Generation of nonlinear semigroups ; 5.2 Cauchy problems with dissipative operators ; 5.3 The infinitesimal generator ; 5.4 Nonlinear diffusion.
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| 505 |
8 |
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|a Chapter 6. Locally Quasi-Dissipative Evolution Equations 6.1 Locally quasi-dissipative operators ; 6.2 Assumptions on the operators A(t) ; 6.3 DS-approximations and fundamental estimates ; 6.4 Existence of DS-approximations ; 6.5 Existence and uniqueness of mild solutions.
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| 504 |
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|a Includes bibliographical references (pages 489-492) and index.
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| 650 |
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0 |
|a Approximation theory.
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| 650 |
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|a Evolution equations
|x Numerical solutions.
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| 650 |
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7 |
|a Approximation theory
|2 fast
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| 650 |
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7 |
|a Evolution equations
|x Numerical solutions
|2 fast
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| 700 |
1 |
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|a Kappel, F.
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| 758 |
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|i has work:
|a Evolution equations and approximations (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG7fD3F4yGGhQHhTFYFVG3
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|z 9789812380265
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| 830 |
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0 |
|a Series on advances in mathematics for applied sciences.
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| 856 |
4 |
0 |
|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1679507
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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