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.
On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton-Jacobi equations
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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.