Criterion for Convergence of Improper Integrals on Two-dimension Unbounded Connected Domains Discusses the convergence and divergence of improper integrals for multi-variable function on the unbounded connected domains.By using the Cauchy integrati... HR Lian,YX Wei,SC Fang,... - 《College ...
To derive the blow-up criterion, we reformulate Eq. (1.1) into a nonlocal transport formulation, akin to other CH-type equations, and then employ standard transport equation theory. This farther refined analytical approach leads to the subsequent theorem, whose proof employs methodologies similar to...
one is interested in local integrability of \(|f|^2e^{-p\varphi }\) for some fixed holomorphic \(f\) . the proof of this was simplified by hiep [ 64 ]. proof of theorem 4.1 we may assume that \(z_0\) is the origin, \(\varphi \) is defined in a neighbourhood of \(\bar{...
Due to the complexity of bipolar Navier-Stokes-Poisson equations, we chose Green's function method instead of the classical energy method and thus discussed the regularity criterion under decaying structures in time instead of only integrability of time variable. It made the whole proo...
For a class of manifolds, these sufficient conditions yield a simple criterion for the uniqueness. 关键词: Uniqueness positive Cauchy problem heat equation Riemannian manifold DOI: 10.1090/S0002-9939-1995-1242097-3 被引量: 41 年份: 1995 ...