Lebesgue and Sobolev Spaces with Variable Exponents 论文
2015引用 1099
Advanced Mathematical Modeling in EngineeringNumerical methods in inverse problemsAdvanced Numerical Methods in Computational Mathematics
详细信息
- 发表日期
- 2015-06-11
- 发表年份
- 2015
关键词
Advanced Mathematical Modeling in EngineeringNumerical methods in inverse problemsAdvanced Numerical Methods in Computational Mathematics
摘要
1 Introduction.- 2 A framework for function spaces.- 3 Variable exponent Lebesgue spaces.- 4 The maximal operator.- 5 The generalized Muckenhoupt condition*.- 6 Classical operators.- 7 Transfer techniques.- 8 Introduction to Sobolev spaces.- 9. Density of regular functions.- 10. Capacities.- 11 Fine properties of Sobolev functions.- 12 Other spaces of differentiable functions.- 13 Dirichlet energy integral and Laplace equation.- 14 PDEs and fluid dynamics