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Search results with tag "Robin conditions"
Second Order Linear Partial Differential Equations Part I
www.personal.psu.eduNeumann conditions. If the boundary conditions are linear combinations of u and its derivative, e.g. α u(0, t) + β u x(0, t) = f (t), then they are called Robin conditions. Those are the 3 most common classes of boundary conditions. If the specified functions in a set of condition are all equal to zero, then they are homogeneous. Our current ...
GREEN’S FUNCTION FOR LAPLACIAN - University of Michigan
math.lsa.umich.eduand for x on the boundary of D, we have u(x) = 0 because G(x,x0) = 0 by the definition of G in (0.5). Verification of (0.3) for u and G satisfying Neumann or Robin conditions can be done similarly. Now let’s see how to find the Green’s function for some particular domains. 1