We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ − div(A(x)∇), where A(x) is a 2 × 2 accretive matrix of bounded measurable complex coefficients, we prove that L1/2 : L2 1(R2) → L2(R2)
International audienceWe examine the stability issue in the inverse problem of determining a scalar ...
AbstractLet u(x, t) be the solution of utt − Δxu = 0 with initial conditions u(x, 0) = g(x) and ut(x...
AbstractThe main topic of this paper is the matrix V=A−XY*, where A is a nonsingular complex k×k mat...
We solve, in two dimensions, the “square root problem of Kato”. That is, for L ≡ − div(A(x)∇), wher...
We consider the Riesz transforms ∇L−1/2, where L≡− divA(x)∇, and A is an accretive, n × n matrix wit...
42 pages. Several typos corrected, added further references, Thm. 1.5 and 1.6 clarified.Internationa...
On a domain Ω ⊆ _ Rd we consider second-order elliptic systems in divergence-form with bounded compl...
AbstractConsider an elliptic sesquilinear form defined on V × V by J[u, v] = ∫Ωajk∂u∂xk\̄t6v∂xj + ak...
AbstractThe present paper discusses relations between regularity, Dirichlet, and Neumann problems. W...
We give a simplified and direct proof of the Kato square root estimate for parabolic operators with ...
Let w be a Muckenhoupt A2(Rn) weight and Lw := −w−1 div(A∇) the degenerate elliptic operator on the ...
We obtain a necessary and sufficient condition on a polynomial $P(t_1,t_2)$ for the $\ell^{p}$ bound...
AbstractIn this paper we prove that the L2 spectral radius of the traction double layer potential op...
Se demuestra una estimacion a priori de las segundas derivadas de una solucion de la ecuacion linear...
On a smoothly bounded domain $${\Omega\subset\mathbb{R}^{2m}}$$ we consider a sequence of positive s...
International audienceWe examine the stability issue in the inverse problem of determining a scalar ...
AbstractLet u(x, t) be the solution of utt − Δxu = 0 with initial conditions u(x, 0) = g(x) and ut(x...
AbstractThe main topic of this paper is the matrix V=A−XY*, where A is a nonsingular complex k×k mat...
We solve, in two dimensions, the “square root problem of Kato”. That is, for L ≡ − div(A(x)∇), wher...
We consider the Riesz transforms ∇L−1/2, where L≡− divA(x)∇, and A is an accretive, n × n matrix wit...
42 pages. Several typos corrected, added further references, Thm. 1.5 and 1.6 clarified.Internationa...
On a domain Ω ⊆ _ Rd we consider second-order elliptic systems in divergence-form with bounded compl...
AbstractConsider an elliptic sesquilinear form defined on V × V by J[u, v] = ∫Ωajk∂u∂xk\̄t6v∂xj + ak...
AbstractThe present paper discusses relations between regularity, Dirichlet, and Neumann problems. W...
We give a simplified and direct proof of the Kato square root estimate for parabolic operators with ...
Let w be a Muckenhoupt A2(Rn) weight and Lw := −w−1 div(A∇) the degenerate elliptic operator on the ...
We obtain a necessary and sufficient condition on a polynomial $P(t_1,t_2)$ for the $\ell^{p}$ bound...
AbstractIn this paper we prove that the L2 spectral radius of the traction double layer potential op...
Se demuestra una estimacion a priori de las segundas derivadas de una solucion de la ecuacion linear...
On a smoothly bounded domain $${\Omega\subset\mathbb{R}^{2m}}$$ we consider a sequence of positive s...
International audienceWe examine the stability issue in the inverse problem of determining a scalar ...
AbstractLet u(x, t) be the solution of utt − Δxu = 0 with initial conditions u(x, 0) = g(x) and ut(x...
AbstractThe main topic of this paper is the matrix V=A−XY*, where A is a nonsingular complex k×k mat...
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