03253nam 2200565Ia 450 991081635990332120240410165337.01-60741-907-6(CKB)1000000000786457(EBL)3018395(SSID)ssj0000190883(PQKBManifestationID)12009456(PQKBTitleCode)TC0000190883(PQKBWorkID)10180271(PQKB)11551132(MiAaPQ)EBC3018395(Au-PeEL)EBL3018395(CaPaEBR)ebr10660256(OCoLC)923658254(EXLCZ)99100000000078645720080709d2008 uy 0engur|n|---|||||txtccrLectures on the differential equations of mathematical physics[electronic resource] a first course /G. Freiling and V. Yurko1st ed.New York Nova Science Publishersc20081 online resource (314 p.)Description based upon print version of record.1-60456-928-X Includes bibliographical references (p. [297]-299) and index.""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 Green�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""Differential equationsMathematical physicsDifferential equations.Mathematical physics.530.15/535Freiling G1594188Yurko V. A1594189MiAaPQMiAaPQMiAaPQBOOK9910816359903321Lectures on the differential equations of mathematical physics3914658UNINA