| Description |
1 online resource (vii, 216 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Inverse and ill-posed problems series,
1381-4524
|
|
Inverse and ill-posed problems series.
1381-4524
|
| Bibliography |
Includes bibliographical references (pages 201-214) and index. |
| Contents |
Chapter 1. Auxiliary material 1 -- 1.1. Banach spaces and linear operators 1 -- 1.2. Theorems on infinitesimal generators 6 -- 1.3. Functional spaces and differential operators 9 -- Chapter 2. Relatively p-radial operators and degenerate strongly continuous semigroups of operators 13 -- 2.1. Relative resolvents 15 -- 2.2. Relatively p-radial operators 20 -- 2.3. Degenerate strongly continuous semigroups of operators 25 -- 2.4. Approximations of Hille -- Widder -- Post type 31 -- 2.5. Splitting of spaces 36 -- 2.6. Infinitesimal generators and phase spaces 42 -- 2.7. Generators of degenerate strongly continuous semigroups of operators 46 -- 2.8. Degenerate strongly continuous groups of operators 49 -- Chapter 3. Relatively p-sectorial operators and degenerate analytic semigroups of operators 55 -- 3.1. Relatively p-sectorial operators 57 -- 3.2. Degenerate analytic semigroups of operators 59 -- 3.3. Phase spaces for the case of degenerate analytic semigroups 65 -- 3.4. Space splitting 68 -- 3.5. Generators of degenerate analytic semigroups of operators 74 -- 3.6. Degenerate infinitely differentiable semigroups of operators 77 -- 3.7. Phase spaces for the case of degenerate infinitely continuously differentiable semigroups 81 -- 3.8. Kernels and images of degenerate infinitely differentiable semigroups of operators 84 -- Chapter 4. Relatively [sigma]-bounded operators and degenerate analytic groups of operators 87 -- 4.1. Relatively [sigma]-bounded operators 89 -- 4.2. Relative [sigma]-boundedness and relative p-sectoriality 92 -- 4.3. Relative [sigma]-boundedness and relatively adjoint vectors 95 -- 4.4. Degenerate analytical groups of operators 97 -- 4.5. Sufficient conditions of the relative [sigma]-bounded ness 101 -- 4.6. Case of a Fredholm operator 108 -- 4.7. Analytical semigroups of operators degenerating on the chains of relatively adjoint vectors of an arbitrary length 111 -- Chapter 5. Cauchy problem for inhomogeneous Sobolev-type equations 119 -- 5.1. Case of a relatively [sigma]-bounded operator 121 -- 5.2. Case of a relatively p-sectorial operator 131 -- 5.3. Case of a relatively p-radial operator 135 -- 5.4. Strong solution of Cauchy problem 139 -- 5.5. Cauchy problem for an equation with Banach-adjoint operators 143 -- 5.6. Propagators 150 -- 5.7. Inhomogeneous Cauchy problem for high-order Sobolev-type equations 154 -- Chapter 6. Bounded solutions of Sobolev-type equations 159 -- 6.1. Relatively spectral theorem 160 -- 6.2. Bounded relaxed solutions of a homogeneous equation 163 -- 6.3. Bounded solutions of the inhomogeneous equation 170 -- Chapter 7. Optimal control 183 -- 7.1. Strong solution of Cauchy problem for an equation with Hilbert-adjoint operators 183 -- 7.2. Problem of optimal control for an equation with relatively [sigma]-bounded operator 188 -- 7.3. Problem of optimal control for equation with a relatively p-sectorial operator 192 -- 7.4. Barenblatt -- Zheltov -- Kochina equation 194 -- 7.5. System of ordinary differential equations 195 -- 7.6. Equation of the evolution of the free filtered-fluid surface 197. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Sobolev spaces.
|
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Sobolev spaces. |
|
Differential equations, Linear.
|
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Differential equations, Linear. |
|
Degenerate differential equations.
|
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Degenerate differential equations. |
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Semigroups of operators.
|
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Semigroups of operators. |
| Genre/Form |
Electronic books.
|
| Added Author |
Fedorov, V. E.
|
| Other Form: |
Print version: Sviridyuk, G.A. Linear Sobolev type equations and degenerate semigroups of operators 9067643831 (DLC) 2003280053 (OCoLC)52746774 |
| ISBN |
9783110915501 (electronic book) |
|
3110915502 (electronic book) |
|
9067643831 |
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9789067643832 |
|
