Stability in fully nonlinear parabolic equations |
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Authors: | Alessandra Lunardi |
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Affiliation: | (1) Dipartimento di Matematica, Università di Parma, Via D'Azeglio 85/A, 43100 Parma, Italy |
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Abstract: | We study the stability of the null solution of a class of nonlinear evolution equations in Banach space. After stating a local existence result and the principle of linearized stability, we study the critical case, giving sufficient conditions for stability. The results are applied to second-order fully nonlinear parabolic equations in [0, + [ × Rn. |
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