New Tools in Mathematical Analysis and Applications

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of São Paulo, Campus Ribeirão 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.

Provides a representative sample of international current research in the large field of Analysis and its applications Collects extended abstracts organised in chapters devoted to special areas in Analysis Presents up-to-date results with an outlook on future directions

Auteur

Marcelo Rempel Ebert is Associate Professor in the Department of Computer Science and Mathematics at the University of São 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.

Contenu

• 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.