Bases in solution sheaves of systems of partial differential equations.
Basic boundary value problems for one ultraparabolic equation.
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I.
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II.
Basic compactness properties of nonconforming and hybrid finite element spaces
Basic regularity of the minima of variational integrals
Basic singularities in the theory of internal waves with surface tension.
Behavior of critical solutions of a nonlocal hyperbolic problem in Ohmic heating of foods.
Behavior of plane relaxation methods as multigrid smoothers.
Behaviour at the boundary of the complex Monge-Ampère equation
Behaviour Near the Boundary of Positive Solutions of Second-Order Parabolic Equations.
Behaviour near zero and near infinity of solutions to elliptic equalities and inequalities.
Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
We are concerned with the boundedness and large time behaviour of the solution for a system of reaction-diffusion equations modelling complex consecutive reactions on a bounded domain under homogeneous Neumann boundary conditions. Using the techniques of E. Conway, D. Hoff and J. Smoller [3] we also show that the bounded solution converges to a constant function as t → ∞. Finally, we investigate the rate of this convergence.
Behaviour of solutions to the Dirichlet problem for the biharmonic operator at a boundary point
Behaviour of solutions to as p → +∞
Behaviour of symmetric solutions of a nonlinear elliptic field equation in the semi-classical limit: Concentration around a circle.
Behaviour of the first eigenvalue of the p-Laplacian in a domain with a hole
We investigate the behaviour of a sequence , s = 1,2,..., of eigenvalues of the Dirichlet problem for the p-Laplacian in the domains , s = 1,2,..., obtained by removing from a given domain Ω a set whose diameter vanishes when s → ∞. We estimate the deviation of from the eigenvalue of the limit problem. For the derivation of our results we construct an appropriate asymptotic expansion for the sequence of solutions of the original eigenvalue problem.
Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption
Numerical experiments suggest interesting properties in the several fields of fluid dynamics, plasma physics and population dynamics. Among such properties, we may observe the interesting phenomena; that is, the repeated appearance and disappearance phenomena of the region penetrated by the fluid in the flow through a porous media with absorption. The model equation in two dimensional space is written in the form of the initial-boundary value problem for a nonlinear diffusion equation with the effect...
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Beitrag zur Theorie der linearen partiellen Differentialgleichungen.