Results 61 to 70 of about 9,328 (235)
Sobolev Space On Riemannian Manifolds [PDF]
, 2019 The main aim of this thesis is to study the theory of Sobolev spaces on Riemannian manifolds. This thesis is divided into three parts, 1st we will learn Riemannian Geometry then Sobolev space on R n at last we will define Sobolev space on Riemannian ...
Kayal, Arnab, Manna, Bhakti Bhusan
core
Wavelets in Sobolev space over local fields of positive characteristics
, 2018 The Sobolev space over local fields [Formula: see text] is defined. A multiresolution analysis for the Sobolev space is developed. Orthonormal wavelets with respect to these space are constructed and an example is also presented.
Ashish Pathak, Guru P. Singh
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space
, 2013 We review results concerning optimal Sobolev inequalities in Riemannian manifolds and recent existence/non existence/uniqueness results for Sobolev extremals in the hyperbolic space ℍn .
Kunnath Sandeep +3 more
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On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley +1 more source
An estimate of the Hopf degree of fractional Sobolev mappings
, 2020 We estimate the Hopf degree for smooth maps f from S^4n−1 to S^2n in the fractional Sobolev space. Namely we show that for s∈[1−1/(4n),1], |deg_H(f)|≲[f]^4ns_W^s,4n−1/s. Our argument is based on the Whitehead integral formula and commutator estimates for
Van Schaftingen, Jean, Schikorra, Armin
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Trace principle for Riesz potentials on Herz-type spaces and applications
Journal of Inequalities and ApplicationsWe establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters.
M. Ashraf Bhat, G. Sankara Raju Kosuru
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Fractional Maximal Functions in Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2013 We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni +3 more
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Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley +1 more source