Results 31 to 40 of about 60,869 (311)
A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain
A Cauchy viscoelastic problem perturbed by an inverse-square potential, and posed in an exterior domain of RN, is considered under a Dirichlet boundary condition.
Bessem Samet, Calogero Vetro
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AbstractThe purpose of this note is to prove the following result about the nonexistence of colorings.
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A Time-Fractional Differential Inequality of Sobolev Type on an Annulus
Several phenomena from natural sciences can be described by partial differential equations of Sobolev-type. On the other hand, it was shown that in many cases, the use of fractional derivatives provides a more realistic model than the use of standard ...
Amal Alshabanat +3 more
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Nonexistence of self-similar singularities for the 3D incompressible Euler equations
We prove that there exists no self-similar finite time blowing up solution to the 3D incompressible Euler equations. By similar method we also show nonexistence of self-similar blowing up solutions to the divergence-free transport equation in $\Bbb R^n$.
A. Majda +23 more
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The nonexistence of regularization operators
With references to applications in physics the author discusses the well known problem of regularization of generalized functions. As is known, there exist various procedures to regularize some concrete classes of generalized functions. For generalized functions on the real line the author shows that there cannot exist a unique procedure which provides
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Nonexistence of Positive Solutions for Quasilinear Equations with Decaying Potentials
In this paper, we consider a quasilinear Schrödinger equation, which arises from the study of the superfluid film equation in plasma physics. Our main goal is to find the growth condition for nonlinear term and decaying condition for the potential ...
Ohsang Kwon
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Nonexistence of small, odd breathers for a class of nonlinear wave equations
In this note, we show that for a large class of nonlinear wave equations with odd nonlinearities, any globally defined odd solution which is small in the energy space decays to $0$ in the local energy norm.
Kowalczyk, Michał +2 more
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We obtain results on nonexistence of nontrivial nonnegative solutions for some elliptic and parabolic inequalities with functional parameters involving the $p(x)$-Laplacian operator. The proof is based on the test function method.
Evgeny Galakhov +2 more
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Remarks on two fourth order elliptic problems in whole space
We are interested in entire solutions for the semilinear biharmonic equation $\Delta^{2}u=f(u)$ in $\R^N$, where $f(u)=e^{u}$ or $-u^{-p}\ (p>0)$. For the exponential case, we prove that any classical entire solution verifies $-\Delta u>0$ without any ...
Lai, Baishun, Ye, Dong
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On the probability of nonexistence in binomial subsets [PDF]
Given a hypergraph $ =( ,\mathcal{X})$ and a sequence $\mathbf{p} = (p_ )_{ \in }$ of values in $(0,1)$, let $ _{\mathbf{p}}$ be the random subset of $ $ obtained by keeping every vertex $ $ independently with probability $p_ $. We investigate the general question of deriving fine (asymptotic) estimates for the probability that $ _{\mathbf{p}
Mousset, Frank +3 more
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