Harmonic Analysis Techniques for Elliptic Operators
portes grátis
Harmonic Analysis Techniques for Elliptic Operators
Lecture Notes of the 27th Internet Seminar on Evolution Equations
Egert, Moritz; Monniaux, Sylvie; Tolksdorf, Patrick; Haller, Robert
Springer Nature Switzerland AG
04/2026
316
Dura
Inglês
9783032130143
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Chapter 1. Basics on operator theory.- Chapter 2. Sectorial operators and sesquilinear forms.- Chapter 3. The form method for elliptic operators.- Chapter 4. Fourier analysis and the Laplacian.- Chapter 5. Functional calculus for sectorial operators.- Chapter 6. First applications of functional calculus.- Chapter 7. H ?-calculus.- Chapter 8. Quadratic estimates vs. functional calculus.- Chapter 9. The Hardy-Littlewood maximal operator.- Chapter 10. Sobolev embeddings.- Chapter 11. Off-diagonal behavior.- Chapter 12. Square roots of elliptic operators.- Chapter 13. The solution of the Kato conjecture: Part I.- Chapter 14. The solution of the Kato conjecture: Part II.
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Harmonic Analysis;Elliptic Operators;Kato Square Root Problem;Functional Calculus;Divergence Form Operators;Square Function Estimates;Off-diagonal Estimates;Quadratic Estimates;Carleson Measures;T(b) Theorem;Kato Conjecture;Square Root Property;Fractional Powers;Fractional Sobolev Spaces;Maximal Functions;Counterexamples to Elliptic Regularity;Sectorial Operators;Riesz Potentials;Internet Seminar;Definition of Harmonic Analysis
Chapter 1. Basics on operator theory.- Chapter 2. Sectorial operators and sesquilinear forms.- Chapter 3. The form method for elliptic operators.- Chapter 4. Fourier analysis and the Laplacian.- Chapter 5. Functional calculus for sectorial operators.- Chapter 6. First applications of functional calculus.- Chapter 7. H ?-calculus.- Chapter 8. Quadratic estimates vs. functional calculus.- Chapter 9. The Hardy-Littlewood maximal operator.- Chapter 10. Sobolev embeddings.- Chapter 11. Off-diagonal behavior.- Chapter 12. Square roots of elliptic operators.- Chapter 13. The solution of the Kato conjecture: Part I.- Chapter 14. The solution of the Kato conjecture: Part II.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Harmonic Analysis;Elliptic Operators;Kato Square Root Problem;Functional Calculus;Divergence Form Operators;Square Function Estimates;Off-diagonal Estimates;Quadratic Estimates;Carleson Measures;T(b) Theorem;Kato Conjecture;Square Root Property;Fractional Powers;Fractional Sobolev Spaces;Maximal Functions;Counterexamples to Elliptic Regularity;Sectorial Operators;Riesz Potentials;Internet Seminar;Definition of Harmonic Analysis
