Solution of an inhomogeneous linear evolution equation as a convolution with the homogeneous Green's function. Scalar, matrix, and operator (PDE) settings identical in form. For the heat equation u_t − Δu = f, u(·,t) = ∫₀ᵗ…
Solution of an inhomogeneous linear evolution equation as a convolution with the homogeneous Green's function. Scalar, matrix, and operator (PDE) settings identical in form. For the heat equation u_t − Δu = f, u(·,t) = ∫₀ᵗ…