Dimension reduction for −Δ1
A 3D-2D dimension reduction for −Δ1 is obtained. A power law approximation from −Δp as p → 1 in terms of Γ-convergence, duality and asymptotics for least gradient functions has also been provided.
Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains
We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.
Dini-Campanato spaces and applications to nonlinear elliptic equations.
Diophantine conditions in global well-posedness for coupled KdV-type systems.
Dirac equations with moving nuclei
Dirac fields on asymptotically flat space-times [Book]
Dirac Operations with Strongly Singular Potentials. Distinguished Self-Adjoint Extensions Constructed with a Spectral Gap Theorem and Cut-Off-Potentials.
Direct and Inverse Error Estimates for Finite Elements With Mesh Refinements.
Direct approach to mean-curvature flow with topological changes
This contribution deals with the numerical simulation of dislocation dynamics. Dislocations are described by means of the evolution of a family of closed or open smooth curves , . The curves are driven by the normal velocity which is the function of curvature and the position. The evolution law reads as: . The motion law is treated using direct approach numerically solved by two schemes, i. e., backward Euler semi-implicit and semi-discrete method of lines. Numerical stability is improved...
Direct current electric potential in an anisotropic half-space with vertical contact containing a conductive 3D body.
Direct image of the de Rham system associated with a rational double point
Direct images of elliptic pairs and microlocalization
Directory of the invited mathematicians
Dirichlet and Neumann problems for string equation, Poncelet problem and Pell-Abel equation.
Dirichlet control of unsteady Navier–Stokes type system related to Soret convection by boundary penalty method
In this paper, we study the boundary penalty method for optimal control of unsteady Navier–Stokes type system that has been proposed as an alternative for Dirichlet boundary control. Existence and uniqueness of solutions are demonstrated and existence of optimal control for a class of optimal control problems is established. The asymptotic behavior of solution, with respect to the penalty parameter ϵ, is studied. In particular, we prove convergence of solutions of penalized control problem to the...
Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions.
Dirichlet Green functions for parabolic operators with singular lower-order terms.
Dirichlet problem associated with a random quasilinear operator in a random domain
Dirichlet problem. Characterization of regularity.
Dirichlet problem for a linear elliptic equation in unbounded domains with -boundary data