Solvability of evolution problems for viscious incompressible flow in domains with non-compact boundaries
Solvability of invariant sublaplacians on spheres and group contractions
In the first part of this paper we study the local and global solvability and the hypoellipticity of a family of left-invariant sublaplacians on the spheres . In the second part, we introduce a larger family of left-invariant sublaplacians on and study the corresponding properties by means of a Lie group contraction to the Heisenberg group.
Solvability of inverse extremal problems for stationary heat and mass transfer equations.
Solvability of linear and semilinear eigenvalue problems with data
Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations.
Solvability of nonlinear problems at resonance
Solvability Of Operator Equations And Periodic Solutions Of Semilinear Hyperbolic Equations
Solvability of parabolic model boundary value problems in Sobolev- Slobodetskij spaces of generalized functions
Solvability of quasilinear elliptic equations with strong dependence on the gradient.
Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems
Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains.
Solvability of the heat equation in weighted Sobolev spaces
The existence of solutions to an initial-boundary value problem to the heat equation in a bounded domain in ℝ³ is proved. The domain contains an axis and the existence is proved in weighted anisotropic Sobolev spaces with weight equal to a negative power of the distance to the axis. Therefore we prove the existence of solutions which vanish sufficiently fast when approaching the axis. We restrict our considerations to the Dirichlet problem, but the Neumann and the third boundary value problems can...
Solvability of the inverse problem of finding thermal conductivity.
Solvability of the Navier-Stokes equations on manifolds with boundary.
Solvability of the Poisson equation in weighted Sobolev spaces
The aim of this paper is to prove the existence of solutions to the Poisson equation in weighted Sobolev spaces, where the weight is the distance to some distinguished axis, raised to a negative power. Therefore we are looking for solutions which vanish sufficiently fast near the axis. Such a result is useful in the proof of the existence of global regular solutions to the Navier-Stokes equations which are close to axially symmetric solutions.
Solvability of the stationary Stokes system in spaces , μ ∈ (0,1)
We consider the stationary Stokes system with slip boundary conditions in a bounded domain. Assuming that data functions belong to weighted Sobolev spaces with weights equal to some power of the distance to some distinguished axis, we prove the existence of solutions to the problem in appropriate weighted Sobolev spaces.
Solvability of the super KP equation and a generalization of the Birkhoff decomposition.
Solvability of the superlinear elliptic boundary value problem
Solvability of two stationary free boundary problems for the Navier-Stokes equations
Si studiano due problemi con frontiera libera per equazioni stazionarie di Navier-Stokes: il problema del movimento di un liquido viscoso incomprimibile generato dalla rotazione di una sbarra rigida immersa nel liquido con velocità angolare assegnata e il problema della fuoriuscita di un liquido da un tubo circolare nello spazio libero. Si assegna l'angolo di contatto tra la frontiera libera e la superficie del tubo e, nel secondo problema, il flusso totale del liquido attraverso l'apertura del...
Solvability problem for strong-nonlinear nondiagonal parabolic system