For fully nonlinear parabolic equations with singular Dirichlet boundary conditions in one dimension, the paper establishes sharp existence and non-existence thresholds governed by the growth exponents of the coefficients and by whether the initial function is bounded.
A nonlinear heat equation with singular initial data
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Singular Dirichlet boundary problems for a class of fully nonlinear parabolic equations in one dimension
For fully nonlinear parabolic equations with singular Dirichlet boundary conditions in one dimension, the paper establishes sharp existence and non-existence thresholds governed by the growth exponents of the coefficients and by whether the initial function is bounded.