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El. knyga: Harmonic Analysis and Partial Differential Equations

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  • Formatas: PDF+DRM
  • Serija: Trends in Mathematics
  • Išleidimo metai: 06-Mar-2023
  • Leidėjas: Birkhauser Verlag AG
  • Kalba: eng
  • ISBN-13: 9783031243110
  • Formatas: PDF+DRM
  • Serija: Trends in Mathematics
  • Išleidimo metai: 06-Mar-2023
  • Leidėjas: Birkhauser Verlag AG
  • Kalba: eng
  • ISBN-13: 9783031243110

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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.
- 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.