Category: Mathematical analysis
Gamma-limit analysis of thin incompressible magnetoelastic shallow shells
What the study found The study characterizes the asymptotic behaviour of a thin incompressible magnetoelastic shallow shell using Γ-convergence, a mathematical notion for describing limiting behavior of variational problems. The compactness result is obtained up to rigid motions. Why the authors say this matters The authors state that the result generalizes a previous work by…
Existence, comparison, and uniqueness shown for anisotropic evolution equations
What the study found The study found existence of solutions for a Cauchy-Dirichlet problem involving a class of fully nonlinear anisotropic evolution equations. It also proved a comparison principle and concluded that the solutions are unique. Why the authors say this matters The authors present these results as establishing well-posedness properties for this class of…
Log-Sobolev inequality holds for some Gibbs measures
What the study found The authors show that the Gibbs measures for the focusing Schrödinger equation satisfy a log-Sobolev inequality when 2 ≤ p ≤ 4. For p > 4, they establish a lower bound for the Hessian of the effective potential. Why the authors say this matters The study suggests that the log-Sobolev inequality…
Multilinear maximal operators on homogeneous curves are bounded
What the study found The authors prove a boundedness result for multilinear maximal operators along homogeneous polynomial curves. In the stated setting, the result holds when p1, …, pn are greater than 1 and the exponents satisfy 1/p = sum from j=1 to n of 1/pj. Why the authors say this matters The abstract does…