| Description |
1 online resource (viii, 304 pages) : illustrations |
| Contents |
Contents -- Preface -- Introduction -- 1.1. Some Examples of Equations of Mathematical Physics -- 1.2. Classification of Second-Order Partial Differential Equations -- 1.3. Formulation of Problems of Mathematical Physics -- Hyperbolic Partial Differential Equations -- 2.1. The Cauchy Problem for the Equation of the Vibrating String -- 2.2. The Mixed Problem for the Equation of the Vibrating String -- 2.3. The Goursat Problem -- 2.4. The Riemann Method -- 2.5. The Cauchy Problem for the Wave Equation -- 2.6. An Inverse Problem for the WaveEquation |
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""2.7. Inverse Spectral Problems""""2.8. Inverse Scattering on the Line""; ""2.9. The Cauchy Problem for the Korteweg -- De Vries Equation""; ""Parabolic Partial Differential Equations""; ""3.1. The Mixed Problem for the Heat Equation""; ""3.2. The Cauchy Problem for the Heat Equation""; ""Elliptic Partial Differential Equations""; ""4.1. Harmonic Functions and Their Properties""; ""4.2. Dirichlet and Neumann Problems""; ""4.3. The Green�s Function Method""; ""4.4. The Method of Upper and Lower Functions""; ""4.5. The Dirichlet Problem for the Poisson Equation"" |
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4.6. The Method of Integral Equations4.7. The Variational Method -- The Cauchy-Kowalevsky Theorem -- Exercises -- 6.1. Classification of Second-Order Partial Differential Equations -- 6.2. Hyperbolic Partial Differential Equations -- 6.3. Parabolic Partial Differential Equations -- 6.4. Elliptic Partial Differential Equations -- 6.5. Answers and Hints -- References -- Index |
| Bibliography |
Includes bibliographical references (pages 297-299) and index |
| Notes |
Print version record |
| Subject |
Differential equations.
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Mathematical physics.
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SCIENCE -- Physics -- Mathematical & Computational.
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Differential equations.
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Mathematical physics.
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| Form |
Electronic book
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| Author |
Yurko, V. A.
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| ISBN |
9781607419075 |
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1607419076 |
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