Mathematical properties of the Weertman equation
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equationweertmanheremathematicalpropertiesadditionapproacharxiv
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We derive here some mathematical properties of the Weertman equation and show it is the limit of an evolution equation. The Weertman equation is a semilinear integrodifferential equation involving a fractional Laplacian. In addition to this purely theoretical interest, the results proven here give a solid ground to a numerical approach that we have implemented (see arXiv:1704.04489).
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