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Showing 1 to 2 of 2 for “"semilinear parabolic equations"”.
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Eternal Solutions and Heteroclinic Orbits of a Semilinear Parabolic Equation
… the space of heteroclinic orbits for a class of semilinear parabolic equations, focusing primarily on the case where the nonlinearity is a second degree polynomial with variable coefficients. Along the way, a new and elementary proof of existence and uniqueness of solutions is given. Heteroclinic …
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Travelling wave solutions of the heat equation in an unbounded cylinder with a non-linear boundary condition
Let $Omega$ be a bounded domain in $R^2$. The existence of travelling wave solutions for the heat equation in the unbounded cylinder $RimesOmega$ subject to the nonlinear boundary condition $partial u over partial n = f(u)$ is investigated. Finding such a solution amounts to solving the elliptic …