Proves well-posedness for kinetic and entropy solutions of a genuinely nonlinear ultra-parabolic Kolmogorov-type equation and rigorously justifies the singular limit to the impulsive case as a smooth source approaches a Dirac delta.
Kozhanov, On the solvability of boundary value problems for quasilinear ultra- parabolic equations in some mathematical models of the dynamics of b iological systems, J
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Singular limits of the quasi-linear Kolmogorov-type equation with a source term
Proves well-posedness for kinetic and entropy solutions of a genuinely nonlinear ultra-parabolic Kolmogorov-type equation and rigorously justifies the singular limit to the impulsive case as a smooth source approaches a Dirac delta.