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This book collects papers related to the session "Harmonic Analysis and Partial Differential Equations" held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations. The book can serve as useful source of information for mathematicians, scientists and engineers.
The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.
List of contents
- The Wave Resolvent for Compactly Supported Perturbations of Minkowski Space. - Smoothing Effect and Strichartz Estimates for Some Time-Degenerate Schrödinger Equations. - On the Cauchy Problem for the Nonlinear Wave Equation with Damping and Potential. - Local Well-Posedness for the Scale-Critical Semilinear Heat Equation with a Weighted Gradient Term. - On the Rellich Type Inequality for Schrödinger Operators with Singular Potential. - Global Solutions to the Nonlinear Maxwell-Schrödinger System. - On the Plate Equation with Exponentially Degenerating Stochastic Coefficients on the Torus. - Existence Results for Critical Problems Involving p-Sub-Laplacians on Carnot Groups. - The Wodzicki Residue for Pseudo-Differential Operators on Compact Lie Groups. - New Characterizations of Harmonic Hardy Spaces. - On the Solvability of the Synthesis Problem for Optimal Control Systems with Distributed Parameters. - On the Determination of a Coefficient of an Elliptic Equation via Partial Boundary Measurement. - Reconstruction from Boundary Measurements: Complex Conductivities.
