An approximate solution for nonlinear backward parabolic equations
نویسندگان
چکیده
منابع مشابه
An approximate solution for nonlinear backward parabolic equations
We consider the backward parabolic equation { ut +Au = f(t, u(t)), 0 < t < T, u(T ) = g, where A is a positive unbounded operator and f is a nonlinear function satisfying a Lipschitz condition, with an approximate datum g. The problem is severely ill-posed. Using the truncation method we propose a regularized solution which is the solution of a system of differential equations in finite dimensi...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.01.020