Convergence to periodic fronts in a class of semilinear parabolic equations
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A class of scalar autonomous parabolic equations, nonlinear with respect to the unknown and its gradient, is investigated. The main topic of this paper is the convergence of the solutions of the Cauchy Problem towards solutions which exhibit, modulo a linear growth in time, periodic spatiotemporal oscillations. Different generalizations are discussed.
KeywordsCauchy Problem Parabolic Equation Main Topic Linear Growth Spatiotemporal Oscillation
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