The Cauchy problem with impulse action and degeneration for parabolic equations

I. D. Pukalskii1, B. O. Yashan2
Yuriy Fedkovych Chernivtsi National University Chernivtsi, Ukraine
We study the Cauchy problem for the second-order linear parabolic equations with impulse conditions in the time variable and power singularity in the coefficients of any order with respect to the time and space variables. By using the maximum principle and apriori estimates we establish the existence and uniqueness of solution of the problem in Holder spaces with power weight.
degeneration; impulse action; apriori estimation; boundary condition
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