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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aElliptic partial differential equations with almost-real coefficients /$fAriel Barton
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2012.
210  4$d©2012
215   $a1 online resource (106 p.)
225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 223, Number 1051
300   $a"May 2013 , Volume 223, Number 1051 (fifth of 5 numbers)."
311   $a0-8218-8740-8 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. History""; ""Chapter 2. Definitions and the Main Theorem""; ""2.1. Geometric definitions""; ""2.2. Definitions of function spaces""; ""2.3. Layer potentials""; ""2.4. The main theorem""; ""2.5. Additional definitions""; ""Chapter 3. Useful Theorems""; ""3.1. Nontangential maximal functions""; ""3.2. Bounds on solutions""; ""3.3. Existence results""; ""3.4. Preliminary uniqueness results""; ""3.5. The Neumann and regularity problems in unusual domains""; ""Chapter 4. The Fundamental Solution""
327   $a""4.1. A fundamental solution exists""""4.2. Uniqueness of the fundamental solution""; ""4.3. Symmetry of the fundamental solution""; ""4.4. Conjugates to the fundamental solution""; ""4.5. CalderA?³n-Zygmund kernels""; ""4.6. Analyticity""; ""Chapter 5. Properties of Layer Potentials""; ""5.1. Limits of layer potentials and the adjoint formulas""; ""Chapter 6. Boundedness of Layer Potentials""; ""6.1. Proof for a small Lipschitz constant: preliminary remarks""; ""6.2. A B for the TB theorem""; ""6.3. Weak boundedness of operators""; ""6.4. The adjoint inequalities""
327   $a""6.5. Proof for a small Lipschitz constant: final remarks""""6.6. Buildup to arbitrary special Lipschitz domains""; ""6.7. Patching: special Lipschitz domains to bounded Lipschitz domains""; ""Chapter 7. Invertibility of Layer Potentials and Other Properties""; ""7.1. Nontangential maximal functions of layer potentials""; ""7.2. Jump relations""; ""7.3. Layer potentials on Hardy spaces""; ""7.4. Invertibility of layer potentials""; ""Chapter 8. Uniqueness of Solutions""; ""8.1. Counterexamples to uniqueness""; ""8.2. Uniqueness results""; ""Chapter 9. Boundary Data in Hardy spaces""
327   $a""9.1. Solutions with boundary data in Hardy spaces""""9.2. Invertibility of layer potentials""; ""Chapter 10. Concluding Remarks""; ""10.1. Converses""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 223, Number 1051.
606   $aDifferential equations, Elliptic
606   $aDifferential equations, Partial
608   $aElectronic books.
615  0$aDifferential equations, Elliptic.
615  0$aDifferential equations, Partial.
676   $a515/.3533
700   $aBarton$b Ariel$f1982-$0974557
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480640103321
996   $aElliptic partial differential equations with almost-real coefficients$92262705
997   $aUNINA