On the Solvability of Parabolic and Hyperbolic Problems with a Boundary Integral Condition
نویسنده
چکیده
We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function spaces and on the density of the range of the linear operator associated to the abstract formulation of the studied problem.
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