Latest Articles for Differential Equations

Explore the significance of irregular Hodge modules in mathematics and their diverse applications.

Learn about Bernstein-Sato polynomials and their significance in mathematics.

Exploring the behavior and properties of differential equations in fields of positive characteristic.

Explore enhanced stability and accuracy in solving hyperbolic differential equations.

An overview of quadratic differentials and their significance in mathematics.

Insights into Fourier integral operators, their properties, and practical applications.

Explore the connections between algebra, geometry, and differential equations through Galois theory.

Explore how Markov semigroups reveal insights about random processes and curvature.

A deep dive into Dirac operators and their role in physics and mathematics.

Insights into Hyers-Ulam stability and its impact on mathematical operators.

This article discusses numerical methods for solving the fractional Korteweg-de Vries equation.

Examining how small solutions influence larger systems in elliptic equations and spectral estimates.

Analyzing conditions for solvability in pseudodifferential operators of subprincipal type.

A look at how mappings behave in differential inclusions and their implications.

An analysis of linear differential operators and their impact on polynomial roots.

This article explores changes in differential ideals and their impact on algebraic varieties.

An overview of local algebras and their properties in algebra and geometry.

Exploring the significance of parabolic and inflection points in ruled surfaces.

An analysis of sign-changing solutions and their implications in nonlinear equations on closed manifolds.

Exploring quantum integrable systems using separation of variables and coordinate systems.

An overview of quadrature domains, weight functions, and their key properties.

This article studies heat kernels in semisimple Lie groups using the Hodge Laplacian.

An overview of solvable initial value problems and their significance.

Multi-rate methods improve simulation efficiency for dynamic systems with varying rates of change.

Transforming complex problems in physics using novel techniques.

This article discusses the extension of Kondratiev spaces to include fractional smoothness.

Exploring the significance and applications of second order -difference equations in mathematics and physics.

A study on Green's functions in elliptic operators with singular drift terms.

An overview of superintegrable systems and their connection to Lie algebras.

Explore the significance of stability in Runge-Kutta methods for solving differential equations.

Explore the connection between geometry and partial differential equations through prolongation and projective methods.

An exploration of Thom's conjecture and its applications in gradient flow.

Research into solvable systems reveals new insights into computation and mathematical modeling.

Examining how memory impacts the stability of gradient ordinary differential equations.

A look at Green's functions, their derivatives, and their role in solving differential equations.

Exploring the connections between volume forms, balanced manifolds, and the Calabi-Yau equation.

Exploring the importance of low regularity metrics in geometry and physics.

Analyzing polynomial-like behavior of Laplace eigenfunctions in small regions.

This paper examines isolated points in the moduli space of special Lagrangian submanifolds.

Exploring the characteristics and methods for solving the Painlevé III equation.