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020 |z 9067643831 
020 |z 9789067643832 
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072 7 |a MAT  |x 034000  |2 bisacsh 
082 0 4 |a 515/.7248  |2 22 
049 |a UAMI 
100 1 |a Sviridyuk, G. A. 
245 1 0 |a Linear Sobolev type equations and degenerate semigroups of operators /  |c G.A. Sviridyuk and V.E. Fedorov. 
264 1 |a Utrecht ;  |a Boston :  |b VSP,  |c 2003. 
300 |a 1 online resource (vii, 216 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Inverse and ill-posed problems series,  |x 1381-4524 
504 |a Includes bibliographical references (pages 201-214) and index. 
505 0 0 |g Chapter 1.  |t Auxiliary material  |g 1 --  |g 1.1.  |t Banach spaces and linear operators  |g 1 --  |g 1.2.  |t Theorems on infinitesimal generators  |g 6 --  |g 1.3.  |t Functional spaces and differential operators  |g 9 --  |g Chapter 2.  |t Relatively p-radial operators and degenerate strongly continuous semigroups of operators  |g 13 --  |g 2.1.  |t Relative resolvents  |g 15 --  |g 2.2.  |t Relatively p-radial operators  |g 20 --  |g 2.3.  |t Degenerate strongly continuous semigroups of operators  |g 25 --  |g 2.4.  |t Approximations of Hille -- Widder -- Post type  |g 31 --  |g 2.5.  |t Splitting of spaces  |g 36 --  |g 2.6.  |t Infinitesimal generators and phase spaces  |g 42 --  |g 2.7.  |t Generators of degenerate strongly continuous semigroups of operators  |g 46 --  |g 2.8.  |t Degenerate strongly continuous groups of operators  |g 49 --  |g Chapter 3.  |t Relatively p-sectorial operators and degenerate analytic semigroups of operators  |g 55 --  |g 3.1.  |t Relatively p-sectorial operators  |g 57 --  |g 3.2.  |t Degenerate analytic semigroups of operators  |g 59 --  |g 3.3.  |t Phase spaces for the case of degenerate analytic semigroups  |g 65 --  |g 3.4.  |t Space splitting  |g 68 --  |g 3.5.  |t Generators of degenerate analytic semigroups of operators  |g 74 --  |g 3.6.  |t Degenerate infinitely differentiable semigroups of operators  |g 77 --  |g 3.7.  |t Phase spaces for the case of degenerate infinitely continuously differentiable semigroups  |g 81 --  |g 3.8.  |t Kernels and images of degenerate infinitely differentiable semigroups of operators  |g 84 --  |g Chapter 4.  |t Relatively [sigma]-bounded operators and degenerate analytic groups of operators  |g 87 --  |g 4.1.  |t Relatively [sigma]-bounded operators  |g 89 --  |g 4.2.  |t Relative [sigma]-boundedness and relative p-sectoriality  |g 92 --  |g 4.3.  |t Relative [sigma]-boundedness and relatively adjoint vectors  |g 95 --  |g 4.4.  |t Degenerate analytical groups of operators  |g 97 --  |g 4.5.  |t Sufficient conditions of the relative [sigma]-bounded ness  |g 101 --  |g 4.6.  |t The case of a Fredholm operator  |g 108 --  |g 4.7.  |t Analytical semigroups of operators degenerating on the chains of relatively adjoint vectors of an arbitrary length  |g 111 --  |g Chapter 5.  |t Cauchy problem for inhomogeneous Sobolev-type equations  |g 119 --  |g 5.1.  |t Case of a relatively [sigma]-bounded operator  |g 121 --  |g 5.2.  |t The case of a relatively p-sectorial operator  |g 131 --  |g 5.3.  |t Case of a relatively p-radial operator  |g 135 --  |g 5.4.  |t Strong solution of Cauchy problem  |g 139 --  |g 5.5.  |t Cauchy problem for an equation with Banach-adjoint operators  |g 143 --  |g 5.6.  |t Propagators  |g 150 --  |g 5.7.  |t Inhomogeneous Cauchy problem for high-order Sobolev-type equations  |g 154 --  |g Chapter 6.  |t Bounded solutions of Sobolev-type equations  |g 159 --  |g 6.1.  |t Relatively spectral theorem  |g 160 --  |g 6.2.  |t Bounded relaxed solutions of a homogeneous equation  |g 163 --  |g 6.3.  |t Bounded solutions of the inhomogeneous equation  |g 170 --  |g Chapter 7.  |t Optimal control  |g 183 --  |g 7.1.  |t Strong solution of Cauchy problem for an equation with Hilbert-adjoint operators  |g 183 --  |g 7.2.  |t Problem of optimal control for an equation with relatively [sigma]-bounded operator  |g 188 --  |g 7.3.  |t Problem of optimal control for equation with a relatively p-sectorial operator  |g 192 --  |g 7.4.  |t Barenblatt -- Zheltov -- Kochina equation  |g 194 --  |g 7.5.  |t System of ordinary differential equations  |g 195 --  |g 7.6.  |t Equation of the evolution of the free filtered-fluid surface  |g 197. 
588 0 |a Print version record. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Sobolev spaces. 
650 0 |a Differential equations, Linear. 
650 0 |a Degenerate differential equations. 
650 0 |a Semigroups of operators. 
650 6 |a Espaces de Sobolev. 
650 6 |a Équations différentielles linéaires. 
650 6 |a Équations différentielles dégénérées. 
650 6 |a Semi-groupes d'opérateurs. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Degenerate differential equations  |2 fast 
650 7 |a Differential equations, Linear  |2 fast 
650 7 |a Semigroups of operators  |2 fast 
650 7 |a Sobolev spaces  |2 fast 
700 1 |a Fedorov, V. E. 
776 0 8 |i Print version:  |a Sviridyuk, G.A.  |t Linear Sobolev type equations and degenerate semigroups of operators  |z 9067643831  |w (DLC) 2003280053  |w (OCoLC)52746774 
830 0 |a Inverse and ill-posed problems series.  |x 1381-4524 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3043705  |z Texto completo 
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