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Let $\\Omega$ be a domain in $\\mathbb R^N$, where $\\partial\\Omega$ is bounded and $\\partial\\Omega = \\partial (\\mathbb R^N\\setminus \\bar {\\Omega})$. We consider the initial-boundary value problem, where the initial value equals zero and the boundary value equals 1, and the Cauchy problem where the initial data is the characteristic function of the set $\\Omega^c = \\mathbb R^N\\setminus \\Omega$. 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