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Showing 1 to 2 of 2 for “"D-bar Problem"”.

  1. Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps

    … when Gardner et al. solved the initial value problem of the Korteweg-de Vries (KdV) equation by what was later called the Inverse Scattering Transform. For some years the KdV equation with its striking properties was thought to be a unique case, until Zakharov and Shabat showed that the …

    cambridge Repository record for Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps (opens in a new tab)

  2. Regularity of the D-bar-Neumann Operator, the Bergman Projection and the Canonical Solution Operator of D-bar-Equation

    … this thesis by a brief introduction to the $\bar{\partial}$-problem in several complex variables and the classical $L^2$ Theorem of $\bar{\partial}$. We then introduce the $\bar{\partial}$-Neumann operator on pseudoconvex domains and give a description of the relation between the …

    syracuse-diss Repository record for Regularity of the D-bar-Neumann Operator, the Bergman Projection and the Canonical Solution Operator of D-bar-Equation (opens in a new tab)