Results 31 to 40 of about 10,566 (266)
The Dirichlet Problem in Weight Spaces [PDF]
The paper concerns the solvability of the Dirichlet problem for quasilinear second order elliptic equations of non-divergence form with unbounded singularities in a domain \(\Omega\subset \mathbb R^n\). The main result is the following.
Apushkinskaya, D. E., Nazarov, A. I.
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The Dirichlet problem and weighted spaces. II. [PDF]
[For part I see ibid. 108, 381-408 (1983; Zbl 0589.35016).] The paper is closely connected with Part I. First, it is shown how to use the results obtained in part I for elliptic differential operators which have strong singularities or which are strongly degenerated: it suffices to modify in an appropriate manner the definition of the weighted spaces ...
Kufner, Alois, Opic, Bohumír
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Free energy and defect C-theorem in free fermion
We describe a p-dimensional conformal defect of a free Dirac fermion on a d-dimensional flat space as boundary conditions on a conformally equivalent space ℍ p+1 × S $$ \mathbbm{S} $$ d−p−1.
Yoshiki Sato
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Dirichlet Forms Constructed from Annihilation Operators on Bernoulli Functionals
The annihilation operators on Bernoulli functionals (Bernoulli annihilators, for short) and their adjoint operators satisfy a canonical anticommutation relation (CAR) in equal-time.
Caishi Wang, Beiping Wang
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Solving Poisson Equation by Distributional HK-Integral: Prospects and Limitations
In this paper, we present some properties of integrable distributions which are continuous linear functional on the space of test function Dℝ2. Here, it uses two-dimensional Henstock–Kurzweil integral.
Amila J. Maldeniya +3 more
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Semantic N-Gram Topic Modeling [PDF]
In this paper a novel approach for effective topic modeling is presented. The approach is different fromtraditional vector space model-based topic modeling, where the Bag of Words (BOW) approach is followed.The novelty of our approach is that in phrase ...
Pooja Kherwa, Poonam Bansal
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The Singular Measure of a Dirichlet Space [PDF]
We [4], [5] examined some properties of balayaged measures in the theory of a Dirichlet space. In those papers, we showed that the singular measure of a Dirichlet space plays some important roles. In this paper, we shall precisely examine some properties of the singular measure of a Dirichlet space.
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Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati +11 more
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TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on F,
Marzena Szajewska +1 more
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New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
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