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Distribution theory
Related lectures (31)
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Distribution & Interpolation Spaces
Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.
Dynamical Systems: Laplace Transform
Covers the Laplace transform, transfer functions, and properties of common functions in dynamical systems.
Brownian Motion: Theory and Applications
Covers the theory of Brownian motion, diffusion, and random walks, with a focus on Einstein's theory for one-dimensional motion.
Evolution of Partial Differential Equations
Explores the evolution of PDEs, focusing on heat and wave equations in 1D, uniqueness of solutions, and the d'Alembert formula.
Maximum Entropy Principle: Stochastic Differential Equations
Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.
Maximum Principle in Heat Equation
Explores the maximum principle in the context of the heat equation and the concept of the cylinder.
Function Approximations
Covers continuous functions with compact support, density, and approximation, focusing on the heat equation.
Heat and Wave Equations: Analysis IV
Covers the study of the heat and wave equations, including the process of separating variables to find solutions.
Partial Differential Equations: Heat Equation in R
Explores solving differential equations with periodic data using Fourier series and delves into the heat equation in R.
Diffusion: Macroscopic View
Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.