
A necessary and sufficient condition for global existence of all positive classical solutions is given. The proof relies on the construction of suitable upper and lower solutions.
global existence, positive classical solutions, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, finite time blow-up, nonlinear boundary conditions, Applied Mathematics, upper and lower solutions method, global solutions, upper and lower solutions, doubly nonlinear parabolic equation, Analysis
global existence, positive classical solutions, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, finite time blow-up, nonlinear boundary conditions, Applied Mathematics, upper and lower solutions method, global solutions, upper and lower solutions, doubly nonlinear parabolic equation, Analysis
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