[PDF] Top 20 Regularity of Solutions to an Integral Equation on a Half Space R+n
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Regularity of Solutions to an Integral Equation on a Half Space R+n
... [6] L. Ma and D. Chen, “Radial Symmetry and Uniqueness of Non-Negative Solutions to an Integral System,” Ma- thematical and Computer Modelling, Vol. 49, No. 1-2, 2009, pp. 379-385. ... See full document
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Symmetry and regularity of positive solutions to integral systems with Bessel potential
... the solutions to nonlinear elliptic problems are in general investigated by the moving planes method, which was first used by Alexanderoff for differential equa- tions, and developed by Serrin [], Gidas et ... See full document
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A Liouville type theorem for an integral system on a half space R+n
... the monotonicity and nonexistence of positive solutions to equation (0.1) under some integrability conditions when r > n– n α . In (Zhuo and Li in J. Math. Anal. Appl. 381:392-401, ... See full document
9
The regularity criterion for weak solutions to the n-dimensional Boussinesq system
... global regularity of smooth solution of the D Boussinesq equations with the frac- tional dissipation has been researched recently in ...type regularity criterion have been obtained in ...homogeneous ... See full document
12
Nonlocal Navier-Stokes problem with a small parameter
... strong solutions and regularity properties of classical Navier-Stokes problems were extensively studied, ...Navier-Stokes equation ( see, ...transformed equation (.) into an evolution ... See full document
19
Comparison of Time-Domain Finite-Difference, Finite-Integration, and Integral-Equation Methods for Dipole Radiation in Half-Space Environments
... Hallen integral equation (1), and the reflection coefficient in ...field integral expression ...Sommerfeld integral representation is up to 10% ...Sommerfeld integral approach was shown to ... See full document
9
Scattering by a Tilted Strip Buried in a Lossy Half-Space at Oblique Incidence
... lossy half- space at oblique incidence is formulated as an electric field integral equation (EFIE) in the spectral domain and discretized by means of Galerkin’s method with Chebyshev ... See full document
12
Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line
... positive solutions for fractional-order nonlinear differential equation with integral boundary conditions on the half-infinite ...positive solutions of a boundary value problem are ...of ... See full document
16
Qualitative behaviour of solutions of hybrid fractional integral equation with linear perturbation of second kind in Banach Space
... Remark 2.8. Let us write Fix(K) by the set all fixed points of the operator K which belongs to C. It can be easily shown that the Fix(K) existing in Theorem 2.7 belongs to family kerµ. In fact if Fix(K) ∈ / kerµ, then ... See full document
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SOLUTIONS OF ELECTRIC-FIELD INTEGRAL EQUATION AND MAGNETIC-FIELD INTEGRAL EQUATION BY USING NUMERICAL ELECTROMAGNETIC CODE
... Available Online at www.ijpret.com 527 At any given time there are about 1800 thunderstorms in progress around the world, with lightning striking about 100 times each second. In the U. S., lightning kills about 150 ... See full document
7
Regularity of weak solutions of the Cauchy problem to a fractional porous medium equation
... The interest in studying the fractional diffusion in modeling diffusive processes has a wide literature, especially studying the long-range diffusive interaction in porous medium type propagation and infinitesimal generators ... See full document
6
Solutions of the Schrödinger equation in a Hilbert space
... Schrödinger equation with a constant unbounded operator in the linear part and obtain all its solutions by using the generalized Green operator of this problem constructed in this ...Pol equation, we ... See full document
9
Local existence for the non resistive MHD equations in nearly optimal Sobolev spaces
... u equation are more delicate. First we obtain estimates on u in the space L 1 ( 0 , T ; H s + 1 ) , using the maximal regularity estimates from Proposition ...the equation for u as the forced ... See full document
16
Integral Solutions of the Diophantine Equation Y2=20x2+4
... quadratic equation of the form y 2 Dx 2 1 where D is non –square positive integer has been studied by various mathematicians for its non-trivial integral solutions when D takes different ... See full document
6
Existence, nonexistence, and multiplicity of solutions for the fractional \(p\&q\)-Laplacian equation in \(\mathbb{R}^{N}\)
... By imposing a strong convexity condition of the p-Laplacian type on the potential of A, the authors extend completely the result of []. Moreover, Autuori and Pucci [] proposed two open questions: the deletion of the ... See full document
16
Exponential attractors for the strongly damped wave equations with critical exponent
... In this section, based on the asymptotic regularity obtained above, we will construct an exponential attractor by the abstract method devised in []. Here it is different from [] to prove the asymptotic smooth ... See full document
18
Existence,multiplicity, and nonexistence of solutions for a p-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\)
... with a, λ , m > 0 and 1 < p < N. By variational methods we prove that problem (0.1) admits at least two solutions under appropriate assumptions on f (u) and h(x). The main difficulty to overcome is ... See full document
19
Integral solutions of Ternary Cubic Diophantine equation
... In this paper, we have presented three different patterns of non- zero distinct integer solutions of ternary cubic Diophantine equation 8 − 5 = 3 and relations between solutions a[r] ... See full document
6
Controllability for nonlinear evolution equations with monotone operators
... of solutions of semilinear parabolic differential equations with monotone ...of solutions for a class of nonlinear evolution equations with monotone perturbations, one can refer to ... See full document
17
The stability of solutions for the Fornberg–Whitham equation in \(L^{1}(\mathbb{R})\) space
... DP equation are discussed in [13] and [14], ...b-family equation including the CH and DP equations are obtained in ...DP equation. The existence and uniqueness of global solutions for the DP ... See full document
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