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Record Nr. |
UNINA9910778030903321 |
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Autore |
Freiling G |
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Titolo |
Lectures on the differential equations of mathematical physics [[electronic resource] ] : a first course / / G. Freiling and V. Yurko |
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Pubbl/distr/stampa |
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New York, : Nova Science Publishers, c2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (314 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Differential equations |
Mathematical physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [297]-299) and index. |
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Nota di contenuto |
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""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"" |
""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 Greenà‚€?s Function Method""; ""4.4. The Method of Upper and Lower Functions""; ""4.5. The Dirichlet Problem for the Poisson Equation"" |
""4.6. The Method of Integral Equations""""4.7. 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"" |
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