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This is the first semester of a two-semester sequence on Differential Analysis.
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English
English [CC]
FREE
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Description
Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.
Course content
- Continuous Functions Unlimited
- Measures and σ-algebras Unlimited
- Measureability of Functions Unlimited
- Integration Unlimited
- Hilbert Space Unlimited
- Test Functions Unlimited
- Tempered Distributions Unlimited
- Convolution and Density Unlimited
- Fourier Inversion Unlimited
- Sobolev Embedding Unlimited
- Differential Operators Unlimited
- Cone Support and Wavefront Set Unlimited
- Homogeneous Distributions Unlimited
- Spectral Theorem Unlimited
- Problems Unlimited
- Solutions Unlimited
- References Unlimited
Instructor
Massachusetts Institute of Technology
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