Erratum: On the Hölder Continuity of Solutions of a Certain System Related to Maxwell's Equations

On the H Older Continuity of Solutions of a Certain System Related to Maxwell's Equations

On the Regularity of Solutions to a Parabolic System Related to Maxwell’s Equations

The goal of this paper is to establish Hölder estimates for the solutions of a certain parabolic system related to Maxwell’s equations. Such an estimate is employed to get the local Hölder continuity of the magnetic field arising from Maxwell’s equations in a quasi-stationary electromagnetic field, provided the resistivity of the material is continuous in time.

Hölder continuity of a parametric variational inequality

‎In this paper‎, ‎we study the Hölder continuity of solution mapping to a parametric variational inequality‎. ‎At first‎, ‎recalling a real-valued gap function of the problem‎, ‎we discuss the Lipschitz continuity of the gap function‎. ‎Then under the strong monotonicity‎, ‎we establish the Hölder continuity of the single-valued solution mapping for the problem‎. ‎Finally‎, ‎we apply these resu...

ON MAXWELL'S STRESS FUNCTIONS FOR SOLVING THREE DIMENSIONAL ELASTICITY PROBLEMS IN THE THEORY OF ELASTICITY

The governing equations of three dimensional elasticity problems include the six Beltrami-Michell stress compatibility equations, the three differential equations of equilibrium, and the six material constitutive relations; and these are usually solved subject to the boundary conditions. The system of fifteen differential equations is usually difficult to solve, and simplified methods are usual...

Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell's equations