Results 31 to 40 of about 139,246 (209)
A C^1 Arnol'd-Liouville theorem
Astérisque, 2020 In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the C 1 regularity of the foliation by invariant Lagrangian tori is crucial to prove the continuity of ...
Arnaud, Marie-Claude, Xue, Jinxin
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Liouville theorems for elliptic systems and applications
, 2014 We prove different Liouville theorems for several classes of quasilinear elliptic systems and ...
Lorenzo DʼAmbrosio +4 more
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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Liouville theorems for some nonlinear inequalities
, 2008 We prove various Liouville theorems for integral and differential inequalities on the whole RN.
D'AMBROSIO L +2 more
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On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators
Cumhuriyet Science Journal, 2019 In this paper, theinverse spectral problems of Sturm-Liouville operators are considered. Some newuniqueness theorems and analogies of the Mochizuki-Trooshin Theorem are proved.2010 Mathematics Subject Classification. Primary34A55, 34B24; Secondary 34L05.
İbrahim Adalar
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A Lot of “Counterexamples” to Liouville's Theorem
Journal of Mathematical Analysis and Applications, 1996 We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions and, in addition, limz→∞ exp(|z|α) f(j)(z) = 0 on any plane strip for every f ∈ M and for every derivation index j.
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A Liouville theorem for Lévy generators [PDF]
Positivity, 2020 AbstractUnder mild assumptions, we establish a Liouville theorem for the “Laplace” equation $$Au=0$$ A u = 0 associated with the infinitesimal generator A of a Lévy process: If u is a weak solution to $$Au=0$$
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Cumhuriyet Science Journal, 2017 In this paper, we prove some uniqueness theorems forthe solution of inverse spectral problems of Sturm–Liouville operators withboundary conditions depending linearly on the spectral parameter and with afinite number of transmission conditions.
Yaşar Çakmak, Baki Keskin
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Nabla Fractional Derivative and Fractional Integral on Time Scales
Axioms, 2021 In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Bikash Gogoi +4 more
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