LEADER 03233nam 2200553Ia 450 001 9910778030903321 005 20230721022352.0 010 $a1-60741-907-6 035 $a(CKB)1000000000786457 035 $a(EBL)3018395 035 $a(SSID)ssj0000190883 035 $a(PQKBManifestationID)12009456 035 $a(PQKBTitleCode)TC0000190883 035 $a(PQKBWorkID)10180271 035 $a(PQKB)11551132 035 $a(MiAaPQ)EBC3018395 035 $a(Au-PeEL)EBL3018395 035 $a(CaPaEBR)ebr10660256 035 $a(OCoLC)923658254 035 $a(EXLCZ)991000000000786457 100 $a20080709d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLectures on the differential equations of mathematical physics$b[electronic resource] $ea first course /$fG. Freiling and V. Yurko 210 $aNew York $cNova Science Publishers$dc2008 215 $a1 online resource (314 p.) 300 $aDescription based upon print version of record. 311 $a1-60456-928-X 320 $aIncludes bibliographical references (p. [297]-299) and index. 327 $a""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"" 327 $a""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 Greena???s Function Method""; ""4.4. The Method of Upper and Lower Functions""; ""4.5. The Dirichlet Problem for the Poisson Equation"" 327 $a""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"" 606 $aDifferential equations 606 $aMathematical physics 615 0$aDifferential equations. 615 0$aMathematical physics. 676 $a530.15/535 700 $aFreiling$b G$01530815 701 $aYurko$b V. A$01523300 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778030903321 996 $aLectures on the differential equations of mathematical physics$93776181 997 $aUNINA