On uniqueness and nonuniqueness of the positive Cauchy problem for parabolic equations with unbounded coefficients.
On uniqueness and stability of steady-state carrier distributions in semiconductors
On uniqueness conditions for decreasing solutions of semilinear elliptic equations.
On uniqueness for a system of heat equations coupled in the boundary conditions.
On uniqueness in electromagnetic scattering from biperiodic structures
Consider time-harmonic electromagnetic wave scattering from a biperiodic dielectric structure mounted on a perfectly conducting plate in three dimensions. Given that uniqueness of solution holds, existence of solution follows from a well-known Fredholm framework for the variational formulation of the problem in a suitable Sobolev space. In this paper, we derive a Rellich identity for a solution to this variational problem under suitable smoothness conditions on the material parameter. Under additional...
On uniqueness of a solution of with given trace.
On Uniqueness of Boundary Values of Solutions of a Problem Arising in Plasma Physics.
On Uniqueness of Frankl-Morawetz Problem in ...2.
On Uniqueness of Positive Solutions of Nonlinear Elliptic Boundary Value Problems.
On Univalent Harmonic Maps Between Surfaces.
On variational approach to photometric stereo
On variational approach to the Hamilton-Jacobi PDE
In this paper we construct a minimizing sequence for the problem (1). In particular, we show that for any subsolution of the Hamilton-Jacobi equation there exists a minimizing sequence weakly convergent to this subsolution. The variational problem (1) arises from the theory of computer vision equations.
On variational inequalities associated with the Navier-Stokes equation: Some bifurcation problems.
On Variational Problems with Obstacles and Integral Constraints for Vector-Valued Functions.
On variations of the shape Hessian and sufficient conditions for the stability of critical shapes.
Para el estudio de la naturaleza de formas críticas en optimización de formas se requieren algunas propiedades de continuidad sobre las derivadas de segundo orden de las formas. Dado que la fórmula de Taylor-Young involucra a diferentes topologías que no son equivalentes, dicha fórmula no permite deducir cuando una forma crítica es un mínimo local estricto de la función forma pese a que su Hessiano sea definido positivo en ese punto. El resultado principal de este trabajo ofrece una cota superior...
On various properties of the solutions of third- and fourth-order linear differential equations
On various types of viscous two-fluid flows
Viscous two-fluid flows arise in different kinds of coating technologies. Frequently, the corresponding mathematical models represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In this review article we present some results about nonisothermal stationary as well as about isothermal evolutionary viscous flow problems. The temperature-depending problems are characterized by coupled heat- and mass transfer and also by thermocapillary convection....
On very weak solutions of a class of nonlinear elliptic systems
In this paper we prove a regularity result for very weak solutions of equations of the type , where , grow in the gradient like and is not in divergence form. Namely we prove that a very weak solution of our equation belongs to . We also prove global higher integrability for a very weak solution for the Dirichlet problem
On viscosity solutions for nontotally parabolic fully nonlinear equations
On volumetric growth and material frames.