Search
Search Results
-
Singular integral operators on tent spaces
We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral...
-
A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces
A posteriori error estimates are provided for discretizations in time of abstract nonlinear parabolic problems u ′ = F ( u ), by the backward Euler...
-
Parabolic equations with non–linear, degenerate and space–time dependent operators
In this paper existence and regularity results for a class of degenerate nonlinear parabolic equations are proved. Indeed, the diffusion operator may...
-
Asymptotic non-stability and blow-up at boundary for solutions of a filtration equation
For a class of nonlinear filtration equation with nonlinear second-third boundary value condition, it is shown that a priori boundary of the solution...
-
Dimension of Maximal Attractors for the m–dimensional Cahn–Hilliard System
On the basis of the existence of the maximal attractor of the m –dimensional Cahn–Hilliard system in the product spaces ( L 2 (Ω)) m and ( H ...
-
Coherent Reflection of Electromagnetic Plane Waves from Infinite Rough Slabs
We adopt the prospect of an observer interested to optimise the signal-to-noise ratio in the reception of the backward radiation coming from a...
-
Maximal Attractors for the m-Dimensional Cahn-Hilliard System
In this paper we discuss maximal attractors of the m -dimensional Cahn-Hilliard System in the product spaces ( L 2 (Ω)) m and ( H 2 (Ω)) m in terms of D....
-
Comparison of Approximate Symmetry Methods for Differential Equations
Two current approximate symmetry methods and a modified new one are contrasted. Approximate symmetries of potential Burgers equation and...
-
Comments on the Trotter product formula error-bound estimates for nonself-adjoint semigroups
Let A be a positive self-adjoint operator and let B be an m -accretive operator which is A -small with a relative bound less than one. Let H=A+B , then H is...
-
Accretive perturbations and error estimates for the Trotter product formula
We study the operator-norm error bound estimate for the exponential Trotter product formula in the case of accretive perturbations. Let A be a...
-
A two-space dimensional semilinear heat equation perturbed by (Gaussian) white noise
A two-space dimensional heat equation perturbed by a white noise in a bounded volume is considered. The equation is perturbed by a non-linearity of...
-
Subdifferential Evolution Inclusion in Nonconvex Analysis
Under quite general assumptions, we prove existence, uniqueness and regularity of a solution U to the evolution equation U' (t) + ∂(g ○ F)(U(t)) ∋ 0,...
-
A comment on the jäger-kačur linearization scheme for strongly nonlinear parabolic equations
The aim of this paper is to demonstrate how the variational equations from [11] can be formulated and solved in some abstract Banach spaces without...
-
-
Fractional powers of self-adjoint operators and Trotter-Kato product formula
We study error bounds in the operator norm topology for the Trotter-Kato product formula. We prove that they depend on fractional power conditions...
-
Weak Solutions and Attractors for Three-Dimensional Navier–Stokes Equations with Nonregular Force
A three-dimensional Navier–Stokes equation is considered. The forcing term is the derivative of a continuous function; the case of white noise is...
-
Explicit Solutions of Some Fourth Order Partial Differential Equations via Iterated Brownian Motion
We give, via the iterated Brownian motion, an explicit formula for the fundamental solution of...