期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (9)
We define and study the harmonic heat flow for almost complex structures which are compatible with a Riemannian structure (M,g). This is a tensor-valu......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (9)
Given a real number x > 0, we determine q(s)(x) := inf U(x), where U(x) is the set of all bases q is an element of (1, 2] for which x has a unique ......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (5)
The paper gives a comprehensive study of infinite-energy solutions and their long-time behavior for semi-linear weakly damped wave equations in R-3 wi......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (5)
In this article, we introduce a model featuring a Levy process in a bounded domain with semi-transparent boundary, by considering the fractional Lapla......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (6)
For a nilmanifold G/Gamma, a 1-Lipschitz continuous function F and the Mobius sequence mu(n), we prove a bound on the decay of the averaged short inte......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (9)
We prove that Khovanov homology with Z/2-coefficients detects the link L7n1 and detects the union of a trefoil and its meridian.
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (9)
In this paper we study the effect of the addition of a convective term, and of the resulting increased dissipation rate, on the growth of solutions to......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (7)
For Cantor circle Julia sets of hyperbolic rational maps, we prove that they are quasisymmetrically equivalent to standard Cantor circles (i.e., conne......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (7)
In this paper, we are concerned with the following equations {(-Delta)(m)+ alpha/2 u( x) = f(x, u, Du, center dot center dot center dot), x is an elem......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (9)
We give a complete description of the possible Hausdorff dimensions of escaping sets for meromorphic functions with a finite number of singular values......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (9)
We consider the mixed ray transform of tensor fields on a three-dimensional compact simple Riemannian manifold with boundary. We prove the injectivity......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (5)
We prove a weak version of the Siegel-Weil formula on SL2 for the dual pair (SL2, O-2,O-2), where O-2,O-2 is the split orthogonal group. By this formu......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (9)
For the generalized surface quasi-geostrophic equation {partial derivative(t)theta + u center dot del theta = 0, in R(2 )x (0, T), u = (perpendicular ......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (8)
We study a form of refined class number formula (resp. type number formula) for maximal orders in totally definite quaternion algebras over real quadr......
期刊： TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 374 (7)
A tensor product surface S is an algebraic surface that is defined as the closure of the image of a rational map phi from P-1 x P-1 to P-3. We provide......
