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most citedGrand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups

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math.AP2019

Fundamental solution for Cauchy initial value problem for parabolic PDEs with discontinuous unbounded first-order coefficient at the origin. Extension of the classical parametrix method

Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota

We prove the existence of a fundamental solution of the Cauchy initial boundary value problem on the whole space for a parabolic partial differential equation with discontinuous un…