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• catalog contributor b11709674.
• catalog created "2000.".
• catalog date "2000".
• catalog date "2000.".
• catalog dateCopyrighted "2000.".
• catalog description "A commutator estimate 106 -- 3. Some handy estimates involving maximal functions 108 -- 4. A composition estimate 110 -- 5. More general composition estimate 112 -- 6. Continuity of u [right arrow] f(u) on H[superscript 1,p] 113 -- 7. Estimates on F (u) -- F (v) 116 -- 8. A pseudodifferential operator estimate 118 -- 9. Paradifferential operators on the spaces C[superscript (lambda)] 120 -- A. Paracomposition 125 -- B. Alinhac's lemma 132 -- Chapter 3. Applications to PDE 135 -- 1. Interior elliptic regularity 137 -- 2. Some natural first-order operators 148 -- 3. Estimates for the Dirichlet problem 155 -- 4. Layer potentials on C[superscript 1, omega] surfaces 159 -- 5. Parametrix estimates and trace asymptotics 173 -- 6. Euler flows on rough planar domains 178 -- 7. Persistence of solutions to semilinear wave equations 183 -- 8. Div-curl estimates 186 -- 9.".
• catalog description "Chapter 1. Pseudodifferential Operators with Mildly Regular Symbols 1 -- 1. Spaces of continuous functions 3 -- 2. Operator estimates on L[superscript p], h[superscript 1], and bmo 17 -- 3. Symbol classes and symbol smoothing 31 -- 4. Operator estimates on Sobolev-like spaces 37 -- 5. Operator estimates on spaces C[superscript (lambda)] 44 -- 6. Products 54 -- 7. Commutator estimates 58 -- 8. Operators with Sobolev coefficients 61 -- 9. Operators with double symbols 63 -- 10. CRW commutator estimate 75 -- 11. Operators with vmo coefficients 78 -- 12. Estimates on a class of Besov spaces 82 -- 13. Operators with coefficients in a function algebra 86 -- 14. Some BKM-type estimates 88 -- 15. Variations on an estimate of Tumanov 92 -- 16. Estimates on Morrey-type spaces 94 -- Chapter 2. Paradifferential Operators and Nonlinear Estimates 101 -- 1. A product estimate 105 -- 2.".
• catalog description "Harmonic coordinates 194 -- 10. Riemannian manifolds with bounded Ricci tensor 202 -- 11. Propagation of singularities 205 -- Chapter 4. Layer Potentials on Lipschitz Surfaces 217 -- 1. Cauchy kernels on Lipschitz curves 218 -- 2. Method of rotations and extensions to higher dimensions 228 -- 3. Variable-coefficient case 230 -- 4. Boundary integral operators 235 -- 5. Dirichlet problem on Lipschitz domains 241 -- A. Koebe-Bieberbach distortion theorem 246.".
• catalog description "Includes bibliographical references and index.".
• catalog extent "x, 257 p. ;".
• catalog identifier "0821826336 (alk. paper)".
• catalog isPartOf "Mathematical surveys and monographs ; no. 81.".
• catalog isPartOf "Mathematical surveys and monographs, 0076-5376 ; v. 81".
• catalog issued "2000".
• catalog issued "2000.".
• catalog language "eng".
• catalog publisher "Providence, RI : American Mathematical Society,".
• catalog subject "515/.353 21".
• catalog subject "Differential equations, Partial.".
• catalog subject "QA377 .T37 2000".
• catalog tableOfContents "A commutator estimate 106 -- 3. Some handy estimates involving maximal functions 108 -- 4. A composition estimate 110 -- 5. More general composition estimate 112 -- 6. Continuity of u [right arrow] f(u) on H[superscript 1,p] 113 -- 7. Estimates on F (u) -- F (v) 116 -- 8. A pseudodifferential operator estimate 118 -- 9. Paradifferential operators on the spaces C[superscript (lambda)] 120 -- A. Paracomposition 125 -- B. Alinhac's lemma 132 -- Chapter 3. Applications to PDE 135 -- 1. Interior elliptic regularity 137 -- 2. Some natural first-order operators 148 -- 3. Estimates for the Dirichlet problem 155 -- 4. Layer potentials on C[superscript 1, omega] surfaces 159 -- 5. Parametrix estimates and trace asymptotics 173 -- 6. Euler flows on rough planar domains 178 -- 7. Persistence of solutions to semilinear wave equations 183 -- 8. Div-curl estimates 186 -- 9.".
• catalog tableOfContents "Chapter 1. Pseudodifferential Operators with Mildly Regular Symbols 1 -- 1. Spaces of continuous functions 3 -- 2. Operator estimates on L[superscript p], h[superscript 1], and bmo 17 -- 3. Symbol classes and symbol smoothing 31 -- 4. Operator estimates on Sobolev-like spaces 37 -- 5. Operator estimates on spaces C[superscript (lambda)] 44 -- 6. Products 54 -- 7. Commutator estimates 58 -- 8. Operators with Sobolev coefficients 61 -- 9. Operators with double symbols 63 -- 10. CRW commutator estimate 75 -- 11. Operators with vmo coefficients 78 -- 12. Estimates on a class of Besov spaces 82 -- 13. Operators with coefficients in a function algebra 86 -- 14. Some BKM-type estimates 88 -- 15. Variations on an estimate of Tumanov 92 -- 16. Estimates on Morrey-type spaces 94 -- Chapter 2. Paradifferential Operators and Nonlinear Estimates 101 -- 1. A product estimate 105 -- 2.".
• catalog tableOfContents "Harmonic coordinates 194 -- 10. Riemannian manifolds with bounded Ricci tensor 202 -- 11. Propagation of singularities 205 -- Chapter 4. Layer Potentials on Lipschitz Surfaces 217 -- 1. Cauchy kernels on Lipschitz curves 218 -- 2. Method of rotations and extensions to higher dimensions 228 -- 3. Variable-coefficient case 230 -- 4. Boundary integral operators 235 -- 5. Dirichlet problem on Lipschitz domains 241 -- A. Koebe-Bieberbach distortion theorem 246.".
• catalog title "Tools for PDE : pseudodifferential operators, paradifferential operators, and layer potentials / Michael E. Taylor.".
• catalog type "text".