Differential Games and Nonlinear First Order PDE on Bounded Domains.
Differential Geometry of Real Monge-Ampère Foliations.
Differential inequalities for a nonlinear partial differential equation of the fourth order
Differential inequalities of parabolic type in the Sobolev space
Differential invariants of the transformation group of a homogeneous space.
Differential operators of the first order with degenerate principal symbols
Let there be given a differential operator on of the form , where is a real matrix and μ is a complex number. We study the following question: To what extent the mapping is surjective? We shall give some conditions on A and μ which assure the surjectivity of D.
Differential operators with generalized constant coefficients.
Differential operators with non dense domain
Differential procedures for systems of implicit relations and implicitly coupled nonlinear boundary value problems
Differential stability of solutions to air quality control problems in urban area
The convex optimal control problem for a system described by the parabolic equation is considered. The form of the right derivative of an optimal solution with respect to the parameter is derived. The applications to an air quality control problem are discussed. Numerical result are provided.
Differential subspaces associated with pairs of ordinary differential operators
Differential-functional inequalities of parabolic type in unbounded regions
Differenzenverfahren zur Berechnung periodischer Lösungen von hyperbolischen Differentialgleichungen.
Diffraction by convex bodies
Diffraction des singularités analytiques dans les problèmes aux limites de la physique mathématique par les méthodes de Kawai-Kashiwara et Sjöstrand
Diffraction par un convexe.
Diffraction pour l'équation de la chaleur
Diffractive nonlinear geometric optics
Diffusion and cross-diffusion in pattern formation
We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.
Diffusion and propagation problems in some ramified domains with a fractal boundary
This paper is devoted to some elliptic boundary value problems in a self-similar ramified domain of with a fractal boundary. Both the Laplace and Helmholtz equations are studied. A generalized Neumann boundary condition is imposed on the fractal boundary. Sobolev spaces on this domain are studied. In particular, extension and trace results are obtained. These results enable the investigation of the variational formulation of the above mentioned boundary value problems. Next, for homogeneous...