Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation

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  • Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation Book Detail

  • Author : Benoît Mselati
  • Release Date : 2004
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 146
  • ISBN 13 : 0821835092
  • File Size : 52,52 MB

Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation by Benoît Mselati PDF Summary

Book Description: Concerned with the nonnegative solutions of $\Delta u = u^2$ in a bounded and smooth domain in $\mathbb{R}^d$, this title intends to prove that they are uniquely determined by their fine trace on the boundary as defined in [DK98a], answering a major open question of [Dy02].

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Considers the behavior of $\mathrm{G}_\mathcal{C}(k)$ when $\mathcal{C}$ is a locally finite equational class (variety) of algebras and $k$ is finite. This titl