Estimate of the Fundamental Solution for Parabolic Operators with Discontinuous Coefficients - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: We will show that the same type of estimates known for the fundamentalsolutions for scalar parabolic equations with smooth enough coefficients holdfor the first order derivatives of fundamental solution with respect to spacevariables of scalar parabolic equations of divergence form with discontinuouscoefficients. The estimate is very important for many applications. Forexample, it is important for the inverse problem identifying inclusions insidea heat conductive medium from boundary measurements.



Author: Michele Di Cristo, Kyoungsun Kim, Gen Nakamura

Source: https://arxiv.org/







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