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Boundary-Value Problem for Parabolic Equations with Impulsive Conditions and Degenerations

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By using the maximum principle and a priori estimates, we study the first boundary-value problem for a linear parabolic equation with power singularities in coefficients with respect to the space… Click to show full abstract

By using the maximum principle and a priori estimates, we study the first boundary-value problem for a linear parabolic equation with power singularities in coefficients with respect to the space variables and impulsive conditions with respect to the time variable. In Hölder spaces with power weights, we establish the existence and uniqueness of the solution of the posed problem.

Keywords: problem parabolic; value problem; impulsive conditions; boundary value; problem

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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