Real Analysis Methods for Markov Processes
portes grátis
Real Analysis Methods for Markov Processes
Singular Integrals and Feller Semigroups
Taira, Kazuaki
Springer Verlag, Singapore
10/2024
749
Dura
9789819736584
Pré-lançamento - envio 15 a 20 dias após a sua edição
Descrição não disponível.
Introduction and Main Results.- Elements of Functional Analysis.- Elements of Measure Theory and Lp Spaces.- Elements of Real Analysis.- Harmonic Functions and Poisson Integrals.- Besov Spaces via Poisson Integrals.- Sobolev and Besov Spaces.- Maximum Principles in Sobolev Spaces.- Elements of Singular Integrals.- Calder?on-Zygmund Kernels and Their Commutators.- Calder?on-Zygmund Variable Kernels and Their Commutators.- Dirichlet Problems in Sobolev Spaces.- Calder?on-Zygmund Kernels and Interior Estimates.- Calder?on-Zygmund Kernels and Boundary Estimates.- Unique Solvability of the Homogeneous Dirichlet Problem.- Regular Oblique Derivative Problems in Sobolev Spaces.- Oblique Derivative Boundary Conditions.- Boundary Representation Formula for Solutions.- Boundary Regularity of Solutions.- Proof of Theorems 16.1 and 16.2.- Markov Processes and Feller Semigroups.- Feller Semigroups with Dirichlet Condition.- Feller Semigroups with an Oblique Derivative Condition.- Feller Semigroups and Boundary Value Problems.- Feller Semigroups with a First Order Ventcel' Boundary Condition.- Concluding Remarks.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Elliptic Differential Operator;Ventcel' (Wentzell) Boundary Condition;VMO Function;Sobolev Space;Besov Space;Singular Integral;Maximum Principle;Feller Semigroup
Introduction and Main Results.- Elements of Functional Analysis.- Elements of Measure Theory and Lp Spaces.- Elements of Real Analysis.- Harmonic Functions and Poisson Integrals.- Besov Spaces via Poisson Integrals.- Sobolev and Besov Spaces.- Maximum Principles in Sobolev Spaces.- Elements of Singular Integrals.- Calder?on-Zygmund Kernels and Their Commutators.- Calder?on-Zygmund Variable Kernels and Their Commutators.- Dirichlet Problems in Sobolev Spaces.- Calder?on-Zygmund Kernels and Interior Estimates.- Calder?on-Zygmund Kernels and Boundary Estimates.- Unique Solvability of the Homogeneous Dirichlet Problem.- Regular Oblique Derivative Problems in Sobolev Spaces.- Oblique Derivative Boundary Conditions.- Boundary Representation Formula for Solutions.- Boundary Regularity of Solutions.- Proof of Theorems 16.1 and 16.2.- Markov Processes and Feller Semigroups.- Feller Semigroups with Dirichlet Condition.- Feller Semigroups with an Oblique Derivative Condition.- Feller Semigroups and Boundary Value Problems.- Feller Semigroups with a First Order Ventcel' Boundary Condition.- Concluding Remarks.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
