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Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function
Abstract We solve numerically the side Cauchy problem for a 1-D parabolic equation. The initial condition is unknown. This is an ill-posed problem. The main difference with previous results is that our equation is quasilinear, whereas known publications on this topic work only with linear PDEs. The key idea is …