Elliptic partial differential equations (PDEs) are a central pillar in the mathematical description of steady-state phenomena across physics, engineering, and applied sciences. Characterised by the ...
This is a preview. Log in through your library . Abstract Partial differential equations with random coefficients can be cast as parametric problems with a potentially infinite-dimensional parameter ...
We consider an elliptic Kolmogorov equation λu − Ku = f in a separable Hilbert space H. The Kolmogorov operator K is associated to an infinite dimensional convex gradient system: dX = (AX − DU(X)) dt ...
Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...
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