Latest Articles for Differential Equations

An approach to reduce complex PDEs into simpler ODEs using transnormal functions.

Explore the role and applications of Simon-Łojasiewicz inequalities in various mathematical fields.

This paper examines the behavior of solutions to nonlinear parabolic equations.

Introducing a novel method for solving differential equations using irregular data.

Discovering connections between complex reflection groups and linear differential equations.

An overview of the Chern form in the context of étale groupoids.

A study of how systems stabilize over time using semigroups.

An overview of fractional Musielak-Sobolev spaces and their significance in mathematics.

Exploring symmetry and uniqueness of positive solutions in quasi-linear elliptic equations.

A deep dive into the Choquard equation and the significance of normalized solutions.

A look at operators and their properties in mathematical analysis.

An examination of new meromorphic forms and their properties on specific curves.

This study investigates eigenfunctions and their behavior in complex mathematical settings.

A look into transseries and their importance in mathematical structures.

A methodical approach to solving complex equations using contour integrals.

Exploring the links between Hodge theory, algebraic varieties, and their interactions.

A look into implicit Euler schemes and their role in solving differential equations.

This study investigates eigenvalue changes in domains with periodic holes.

A study of positive solutions influenced by Hardy-Sobolev exponents in Laplace equations.

A study on the solutions and behaviors of the Painlevé I equation.

Research on operators in nilpotent Lie groups reveals new insights in harmonic analysis.

Exploring multiple polyexponential integrals and their significance in black hole physics.

Examining how solutions behave in hyperbolic systems with various conditions.

A guide to the Levi equation and its geometric applications.

An overview of the implicit Euler method and its applications in differential inversion.

Exploring Krein systems and their impact on various mathematical fields.

Exploring a novel proof for the B-series composition theorem using unlabelled trees.

Examining the link between linear systems and their quasilinear perturbations.

A look into weighted Sobolev spaces and their importance in angular domains.

Exploring numerical solutions for differential equations through spline functions and integral techniques.

This paper examines how solutions to the NLS change and decay over time.

This article discusses Riesz transforms and their significance in mathematics.

Explore the thrilling twists of mathematical singularities and their secret lives.

Discover how stability shapes mathematical systems and real-world phenomena.