Some results about the approximate controllability property for quasilinear diffusion equations (original) (raw)
1997, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
AI-generated Abstract
The paper investigates the approximate controllability property of quasilinear diffusion equations, focusing on the scenario described by yt = A(p(y(x, t))) in a bounded domain. It presents negative results for certain nonlinear functions and a positive outcome for a specific class of functions that are essentially linear at infinity, achieved through advanced techniques like higher-order vanishing viscosity. The work contributes to understanding controllability in functional spaces and addresses complexities within the context of nonlinear diffusion equations.
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