2 problems
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Ultrafunction characterization conjecture for the entropy solution of Burgers' equation
Let be a standard initial value for Burgers' equation, and let be the unique ultrafunction solving the natural ultrafunction formulation called Problem BEG. The source…
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Infinitesimal-radius soliton conjecture for supercritical nonlinear Schrödinger dynamics
Let be the spatial dimension, let , and consider the generalized ultrafunction solution of the nonlinear Schrödinger equation described in the paper. A sol…