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El. knyga: New Tools in Mathematical Analysis and Applications: Proceedings of the 14th ISAAC Congress 2023, Ribeirao Preto, Brazil

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  • Formatas: PDF+DRM
  • Serija: Trends in Mathematics
  • Išleidimo metai: 29-Jan-2025
  • Leidėjas: Birkhauser Verlag AG
  • Kalba: eng
  • ISBN-13: 9783031770500
  • Formatas: PDF+DRM
  • Serija: Trends in Mathematics
  • Išleidimo metai: 29-Jan-2025
  • Leidėjas: Birkhauser Verlag AG
  • Kalba: eng
  • ISBN-13: 9783031770500

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This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of Sćo Paulo, Campus Ribeirćo Preto, Brazil, on July 17-21, 2023. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume constitutes a valuable resource on current research in mathematical analysis and its various interdisciplinary applications, both for specialists and non-specialists alike.
- Part I: Complex Geometry.- On the Jacobian Variety of the
Accola-Maclachlan Curve of Genus Four.- T-Invariant Points on T-varieties.-
Computations on the Hilbert-Mumford Criterion for Grassmanians.- Rational
Homotopy and Hodge Theory of Moduli Stacks of Principal G-Bundles.- On Slice
Regular Bergman Spaces and Fiber Bundles.- Part II: Complex Variables and
Potential Theory.- Inequalities for the Inner Radii of Domains Containing an
Arbitrary Ellipse Points and Infinity.- On the Carleman-Bers-Vekua Equation.-
On Asymptotics of Ring Q-Homeomorphisms with Respect to p-Modulus near the
Origin.- Approximate Solutions of some Problems in Thermoelasticity.- On
Local Hölder and Lipschitz Continuities of Solutions to Nonlinear Beltrami
Equation.- A Piecewise Continuous Schwarz-Type Boundary-Value Problem in an
Angle for Monogenic Functions in a Commutative Biharmonic Algebra.- On
Distortion Estimates of Mappings with the Poletsky Condition in Domains with
Poincare Inequality.- Part III: Function Spaces and their Applications.-
Well-Posedness for a System of Nonlinear Schrödinger Equations with
Derivative Nonlinearity via the Energy Method.- Part IV: Harmonic Analysis
and Related Topics.- Geometric Herz Spaces and Poisson Kernels in the Upper
Half-Space.- Part V: Partial Differential Equations Oncurved Spacetime.-
Optimal L-Decay Rate of Solutions to a Dissipative Nonlinear Schrödinger
Equation System.- Global Solutions of the Klein-Gordon Equation under the
Quartic Potential in the de Sitter Spacetime.- About Critical Exponents in
Semi-Linear de Sitter Models.- Part VI: PDEs in Fluid Mechanics.- A Family of
Systems Including the Herschel-Bulkley Fluid Equations.- On the
Well-Posedness for the Inviscid Boussinesq Equations in Besov-Herz Spaces.-
Blowing up and Dissipation for a Couple of One-Dimensional Non-Local
Conservation Laws.- Part VII: Recent Progress in Evolution Equations.- Lp
Lq Estimates for Very Strongly Damped Wave Equations.- Decay Estimates for
Space-Time Fractional Equations with Structural Damping and Nonlinear
Memory.- Revisit on Global Existence of Solutions for Semilinear Damped Wave
Equations in RN with Noncompactly Supported Initial Data.- Part VIII:
Stochastic Processes.- Hedging in a Market with Jumps A FBSDE Approach.-
Global Smooth Solutions for the Stochastic Navier-Stokes Equations with
Super-Linear Stratonovich Noise in the 3D Torus.- Part IX: Wavelet theory and
its Related Topics.- On Characterization of the Gabor Wavelet Transform of
Analytic Functionals.- The p-Adic Fourier Transform of the Locally Constant
Functions.- Fractional Neural Network Interpolation Operator for Irregular
Grid Points.
Marcelo Rempel Ebert is Associate Professor in the Department of Computer Science and Mathematics at the University of Sćo Paulo (USP), Brazil.





Uwe Kähler is Associate Professor  in the Department of Mathematics at the University of Aveiro, Portugal.





Irene Sabadini is Professor  in the Department of Mathematics at the Polytechnic University of Milan.





Joachim Toft is  Professor  in the Department of Mathematics at the Linnaeus University, Växjö, Sweden.