Titlebook: Nonlinear Equations: Methods, Models and Applications; Daniela Lupo,Carlo D. Pagani,Bernhard Ruf Conference proceedings 2003 Springer Base

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Some Remarks on the Semilinear Wave Equation,We study the following equation. where . and .; . : . → .. We assume that . so that . and W’(?) is for ? real.

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Well-posedness Results for the Modified Zakharov-Kuznetsov Equation,We establish local and global well-posedness for the modified Zakharov-Kuznetsov equation for initial data in H.(][8.). We use smoothing estimates for solutions of the linear problem plus a fixed point theorem to prove the local result.

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A Class of Isoinertial One Parameter Families of Selfadjoint Operators,.a (possibly unbounded) selfadjoint operator in a Hilbert space., then the inertia.the pair.,.where.the dimension.the negative subspace.and z is the dimension.the null space.one parameter family.selfadjoint operators is.the inertia.independent of.

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,Solutions of Semilinear Problems in Symmetric Planar Domains — ODE Behavior and Uniqueness of BrancWe prove an existence and uniqueness theorem for an “Initial Value Problem” in the plane, related to the semilinear elliptic equation.in the case f is a C.-convex function. This result is applied to show the uniqueness of a global bifurcation branch for the problem. whereΩis a symmetric bounded domain in?.

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