Add to ORKGWe discuss the relationships between the notion of intrinsic ultracontractivity, parabolic Harnack principle, compactness of the 1-resolvent of the Neumann Laplacian, and non-trap property for Euclidean domains with finite Lebesgue measure. In particular, we give an answer to an open problem raised by Davies and Simon in 1984 about the possible relationship between intrinsic ultracontractivity for the Dirichlet Laplacian in a domain D and compactness of the 1-resolvent of the Neumann Laplacian in D.Research partially supported by National Science Foundation (NSF) grant DMS-0303310
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
AbstractCompactness of the Neumann operator in the ∂¯-Neumann problem is studied for weakly pseudoco...
Ever since the pioneering works of Carleson [8] and Hunt-Wheeden [10, 11] for Lipschitz domains, a l...
AbstractLet D be a domain in RN, n ⩾ 2, and let H = H0 + V, where H0 is a divergence form uniformly ...
AbstractWe show that if D = {(x, y): 0 < x < 1, f(x) < y < 1}, where f is negative, upper semicontin...
In Chapter 2, we study a conjecture concerning a geometrical characterization in terms of the areas ...
Let M be a complete, non-compact, connected Riemannian manifold with Ricci curvature bounded from be...
Consider an open set D [is an element of the set] R [The set of Real Numbers] [superscript]d, d [is ...
We shall prove intrinsic ultracontractive bounds for compact manifolds with boundary, using their in...
AbstractLet D be a domain in RN, n ⩾ 2, and let H = H0 + V, where H0 is a divergence form uniformly ...
Abstract. We give necessary and sufficient conditions in terms of potential theoretic properties for...
SUMMARY For every positive regular Borel measure, possibly infinite valued, vanishing on all sets ...
The paper makes use of recent results in the theory of Banach lattices and positive operators to dea...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
AbstractCompactness of the Neumann operator in the ∂¯-Neumann problem is studied for weakly pseudoco...
Ever since the pioneering works of Carleson [8] and Hunt-Wheeden [10, 11] for Lipschitz domains, a l...
AbstractLet D be a domain in RN, n ⩾ 2, and let H = H0 + V, where H0 is a divergence form uniformly ...
AbstractWe show that if D = {(x, y): 0 < x < 1, f(x) < y < 1}, where f is negative, upper semicontin...
In Chapter 2, we study a conjecture concerning a geometrical characterization in terms of the areas ...
Let M be a complete, non-compact, connected Riemannian manifold with Ricci curvature bounded from be...
Consider an open set D [is an element of the set] R [The set of Real Numbers] [superscript]d, d [is ...
We shall prove intrinsic ultracontractive bounds for compact manifolds with boundary, using their in...
AbstractLet D be a domain in RN, n ⩾ 2, and let H = H0 + V, where H0 is a divergence form uniformly ...
Abstract. We give necessary and sufficient conditions in terms of potential theoretic properties for...
SUMMARY For every positive regular Borel measure, possibly infinite valued, vanishing on all sets ...
The paper makes use of recent results in the theory of Banach lattices and positive operators to dea...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good prop...
AbstractCompactness of the Neumann operator in the ∂¯-Neumann problem is studied for weakly pseudoco...