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ONAPAIROFNONISOMETRICISOSPECTRALDOMAINSWITHFRACTALBOUNDARIESANDTHEWEYLBERRYCONJECTURESLEEMAN,B.D.CHENHUAManuscriptrec...  相似文献   
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本文讨论圆形区域内芽虫分布模型,特别研究了芽虫与天敌接触时产生与避免outbreak状态的可能性。  相似文献   
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The problem considered is that of determining the shape of aplane acoustically sound-soft obstacle from the knowledge ofthe far-field pattern for one time-harmonic incident field.An iterative procedure is proposed based on two boundary integralsrepresenting the incident field and the far-field pattern, respectively.Numerical examples are included which show that the proceduregives accurate numerical approximations in relatively few iterations.  相似文献   
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In this paper, we study the spectrum of the Dirichlet Laplacian in a bounded (or, more generally, of finite volume) open set R n (n1) with fractal boundary of interior Minkowski dimension (n–1,n]. By means of the technique of tessellation of domains, we give the exact second term of the asymptotic expansion of the counting functionN() (i.e. the number of positive eigenvalues less than ) as +, which is of the form /2 times a negative, bounded and left-continuous function of . This explains the reason why the modified Weyl-Berry conjecture does not hold generally forn2. In addition, we also obtain explicit upper and lower bounds on the second term ofN().  相似文献   
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N,N'-Trimethylene-bis-(pyridinium-4-aldoxime)dibromide, 4-pyridine aldoxime, atropine sulfate, benactyzine hydrochloride, methyl paraben and propyl paraben are separated by ion-pair high-performance liquid chromatography. The method is specific for detecting and quantifying each compound in a complex mixture without solvent extraction or pretreatment. Levels as low as 1 ng on column are quantifiable by the procedure. All components are eluted within 9 min subsequent to the initial injection. Because of the simplicity of the method, the procedure is suitable for routinely monitoring the stability of the various compounds in the formulation during storage.  相似文献   
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A constructive method for obtaining subsolutions and supersolutions to the Cauchy problem for systems of parabolic equations is discussed. Applications of the method to Fujita-type systems are considered leading to global existence and finite time blow-up results.  相似文献   
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