LEADER 03389nam 2200565 450 001 9910817273903321 005 20170822144126.0 010 $a0-8218-8750-5 035 $a(CKB)3360000000464079 035 $a(EBL)3114368 035 $a(SSID)ssj0000889107 035 $a(PQKBManifestationID)11488387 035 $a(PQKBTitleCode)TC0000889107 035 $a(PQKBWorkID)10875526 035 $a(PQKB)11756366 035 $a(MiAaPQ)EBC3114368 035 $a(RPAM)17132077 035 $a(PPN)195419081 035 $a(EXLCZ)993360000000464079 100 $a20150416h20112011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOn first and second order planar elliptic equations with degeneracies /$fAbdelhamid Meziani 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011. 210 4$dİ2011 215 $a1 online resource (77 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 217, Number 1019 300 $a"May 2012, Volume 217, Number 1019 (first of 4 numbers)." 311 $a0-8218-5312-0 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""Chapter 2. Basic Solutions""; ""2.1. Properties of basic solutions""; ""2.2. The spectral equation and Spec(L0)""; ""2.3. Existence of basic solutions""; ""2.4. Properties of the fundamental matrix of (E,)""; ""2.5. The system of equations for the adjoint operator L*""; ""2.6. Continuation of a simple spectral value""; ""2.7. Continuation of a double spectral value""; ""2.8. Purely imaginary spectral value""; ""2.9. Main result about basic solutions""; ""Chapter 3. Example"" 327 $a""Chapter 4. Asymptotic behavior of the basic solutions of L""""4.1. Estimate of ""; ""4.2. First estimate of and ""; ""4.3. End of the proof of Theorem 4.1""; ""Chapter 5. The kernels""; ""5.1. Two lemmas""; ""5.2. Proof of Theorem 5.1""; ""5.3. Modified kernels""; ""Chapter 6. The homogeneous equation L u=0""; ""6.1. Representation of solutions in a cylinder""; ""6.2. Cauchy integral formula""; ""6.3. Consequences""; ""Chapter 7. The nonhomogeneous equation L u=F""; ""7.1. Generalized Cauchy Integral Formula""; ""7.2. The integral operator T""; ""7.3. Compactness of the operator T"" 327 $a""Chapter 8. The semilinear equation""""Chapter 9. The second order equation: Reduction""; ""Chapter 10. The homogeneous equation Pu=0""; ""10.1. Some properties""; ""10.2. Main result about the homogeneous equation Pu=0""; ""10.3. A maximum principle""; ""Chapter 11. The nonhomogeneous equation Pu=F""; ""Chapter 12. Normalization of a Class of Second Order Equations with a Singularity ""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 217, Number 1019. 606 $aDegenerate differential equations 606 $aDifferential equations, Elliptic 615 0$aDegenerate differential equations. 615 0$aDifferential equations, Elliptic. 676 $a515/.3533 700 $aMeziani$b Abdelhamid$f1957-$01714675 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817273903321 996 $aOn first and second order planar elliptic equations with degeneracies$94108707 997 $aUNINA