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Bounds on oscillatory integral operators based on multilinear estimates
oscillatory integral operators multilinear estimates
2011/2/22
Let S ⊂ Rn be a smooth, compact hyper-surface with positive definite second fundamental form. Let σ be its surface measure.We prove the following result with respect to the Fourier restriction/e...
An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis
fire, boilover Stefan problems heat balance integral
2011/1/20
Stefan prob lems rel e vant to burn ing oil-wa ter sys tems are for mu lated. Two mov ing bound ary sub-prob lems are de fined: burn ing liq uid sur face and for ma tion of a dis til la tion (“hot zon...
The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and Benchmark Exercises
heat-balance integral method heat-conduction parabolic profile
2011/1/20
The heat-bal ance in te gral method of Good man has been thor oughly an a lyzed in the case of a par a bolic pro file with un spec i fied ex po nent de pend ing on the bound ary con di tion im posed. ...
Research Note on a Parabolic Heat-Balance Integral Method with Unspecified Exponent: An Entropy Generation Approach in Optimal Profile Determination
Research Note on a Parabolic Heat-Balance Integral Method Unspecified Exponent Entropy Generation Optimal Profile Determination
2011/1/20
The heat-bal ance in te gral method of Good man is stud ied with two sim ple 1-D heat con duc tion prob lems with pre scribed tem per a ture and flux bound ary con di tions.These clas si cal prob lems...
A generalization of Osgood's test and a comparison criterion for integral equations with noise
Osgood’s test comparison criterion time of explosion
2011/1/19
In this work, we prove a generalization of Osgood’s test for the ex-plosion of the solutions of initial-value problems. We also establish a comparison criterion for the solution of integral equations ...
Integral cluster categories of acyclic quivers have recently been used in the representation-theoretic approach to quantum cluster algebras. We show that over a principal ideal domain, such categories...
Analytical Evaluation Of An Infinite Integral Over Four Spherical Bessel Functions
Analytical Evaluation Infinite Integral Four Spherical Bessel Functions
2011/3/1
Infinite integrals over spherical Bessel functions have always been of interest due to their occurence in nuclear physics [1-10], particle physics [11] and astrophysics [12-13],to mention a few.
We give a list of finite groups containing all finite groups G such that the group of units ZG∗ of the integral group ring ZG is subgroup separable. There are only two types of these groups G fo...
Multiple G-Itô integral in the G-expectation space
Sublinear expectation G-Brownian motion G-Itˆ o integral
2011/1/17
In this paper, motivated by mathematic finance we introduce the multiple G-Itˆo integral in the G-expectation space, then investigate how to calculate. We get the the relationship between Hermite...
Torsion units in integral group rings of Conway simple groups
Zassenhaus conjecture torsion unit partial augmentation
2011/2/24
Using the Luthar–Passi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups Co1, Co2 and C...
Classical integral geometry takes place in Rn equipped with the Euclidean metric. We begin to develop integral geometry for Rn equipped with the taxicab metric (induced by the 1-norm).
Description of limits of ranges of iterations of stochastic integral mappings of infinitely divisible distributions
completely selfdecomposable distribution infinitely divisible dis-tribution
2011/1/17
For infinitely divisible distributions on Rd the stochastic integral map-ping f is defined as the distribution of improper stochastic integral R∞−0 f(s)dX() s ,where f(s) is a non-random f...
On a relation to four basic Hilbert-type integral inequalities
basic Hilbert-type integral inequality parameter
2010/9/21
In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to four bas...
The aim of this paper is to obtain fixed point theorems for hybrid pairs of single valued and multivalued mappings satisfying a contractive condition of integral type in general settings. Several well...
New integral inequality on time scales
Integral Inequalities Dynamic Equation and Inequalities
2010/9/25
In this paper we establish some new integral inequalities related to a certain inequality arising in the theory of dynamic equations on time scales.