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Results tagged with parabolic-pde
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user 98946
Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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Existence and Uniqueness of Solutions to Quasilinear Parabolic PDEs
Consider the following general form of a quasilinear parabolic PDE
$$ u_t = a(x,u,u_x)u_{xx} + b(x,u,u_x) \ \ \textrm{ for }-1<x<1, \tag{1}$$
with inhomogeneous boundary condition $u_x(x,t) = g(u(x,t) …
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