Stability in fully nonlinear parabolic equations
The stability of the zero solution of a class of nonlinear evolution equations in a Banach space is studied. After stating a local existence result and the principle of linearized stability, the author studies the critical case, giving sufficient conditions for stability. The results are applied to second-order fully nonlinear parabolic equations in \([0,+\infty[\times \mathbb{R}^n\).
scientific article; zbMATH DE number 775513
scientific article