Results 61 to 70 of about 4,008,571 (171)
Generalizations of the Dirichlet Problem for Bianalytic Functions
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference.
William L. Blair
wiley +1 more source
A weighted Hardy-Sobolev-Maz’ya inequality [PDF]
, 2014 We provide a weighted extension of a Hardy-Sobolev-Maz’ya inequality that is due to Filippas, Maz’ya and ...
Sourdis, Christos
core
Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2011 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Davydov, Oleg
core +3 more sources
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT The classical theory of porous media is based on assumed micro‐homogeneity of the solid phase (skeleton). Based on the drained macroscale elastic stiffness, it is possible to analytically compute auxiliary properties such as the Biot‐Willis and Skempton parameters.
Phil Kreutzheide +3 more
wiley +1 more source
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
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
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