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arXiv · 0805.4125

Reduced measures associated to parabolic problems

Waad Al Sayed·Mustapha Jazar·Laurent Veron
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Abstract

We study the existence and the properties of the reduced measures for the parabolic equations $\partial_tu-Δu+g(u)=0$ in $Ω\times (0,\infty)$ subject to the conditions ($P$): $u=0$ on $\partialΩ\times (0,\infty)$, $u(x,0)=μ$ and ($P'$): $u=μ'$ on $\partialΩ\times (0,\infty)$, $u(x,0)=0$ where $μ$ and $μ'$ are positive Radon measures and $g$ a continuous nondecreasing function

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Waad Al Sayed, Mustapha Jazar, Laurent Veron. 2008-05-27. Reduced measures associated to parabolic problems. https://arxiv.org/abs/0805.4125

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