Estimates for solutions of nonlinear variational inequalities
Estimates for solutions to nonlinear boundary-value problems in conic domains.
Estimates for the Asymptotic Behavior of Solutions of the Helmholtz Equation, with an Application to Second order Elliptic Differential Operators with Variable Coefficients.
Estimates for the asymptotic behavior of solutions of the Helmholtz equation, with an application to second order elliptic differential operators with variable coefficients (Erratum).
Estimates for the Classical Parametrix for the Laplacian.
Estimates for the cut-off resolvent of the Laplacian for trapping obstacles
Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry
The rate of growth of the energy integral of a quasiregular mapping is estimated in terms of a special isoperimetric condition on . The estimate leads to new Phragmén-Lindelöf type theorems.
Estimates for the first eigenfunction of linear eigenvalue problems via Steiner symmetrization.
Estimates for the Green function and characterization of a certain Kato class by the Gauss semigroup in the half space.
Estimates for the Green function and existence of positive solutions for higher-order elliptic equations.
Estimates for the Green function and singular solutions for polyharmonic nonlinear equation.
Estimates for the maximum modulus of solutions to the Burgers system of equations.
Estimates for the multiplicative square function of solutions to nondivergence elliptic equations.
Estimates for the norms of solutions of delay difference systems.
Estimates for the norms of solutions of difference systems with several delays.
Estimates for the parametrix of the Kohn Laplacian on certain domains.
Estimates for the -Neumann operator on strongly pseudo-convex domain with Lipschitz boundary.
Estimates from above and from below for the Homogenized Coefficients.
Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients.
This paper aims at giving an overview of estimates in general Besov spaces for the Cauchy problem on t = 0 related to the vector field ∂t + v·∇. The emphasis is on the conservation or loss of regularity for the initial data.When ∇u belongs to L1(0,T; L∞) (plus some convenient conditions depending on the functional space considered for the data), the initial regularity is preserved. On the other hand, if ∇v is slightly less regular (e.g. ∇v belogs to some limit space for which the embedding in L∞...
Estimates in the Hardy-Sobolev space of the annulus and stability result
The main purpose of this work is to establish some logarithmic estimates of optimal type in the Hardy-Sobolev space ; of an annular domain. These results are considered as a continuation of a previous study in the setting of the unit disk by L. Baratchart and M. Zerner, On the recovery of functions from pointwise boundary values in a Hardy-Sobolev class of the disk, J. Comput. Appl. Math. 46 (1993), 255–269 and by S. Chaabane and I. Feki, Optimal logarithmic estimates in Hardy-Sobolev spaces...