Results 141 to 150 of about 1,597 (267)
A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley +1 more source
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
Gait Adaptability Training Improves Gait in Spinocerebellar Ataxia Patients
Abstract Background Spinocerebellar ataxia (SCA) is a rare, genetic neurodegenerative movement disorder primarily affecting the cerebellum. So far, there is no available cure for SCA. However, evidence suggests that neurorehabilitation can alleviate symptoms.
Colette J.M. Reniers +5 more
wiley +1 more source
Classification of dynamical Lie algebras of 2-local spin systems on linear, circular and fully connected topologies. [PDF]
Wiersema R +3 more
europepmc +1 more source
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés +2 more
wiley +1 more source
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
wiley +1 more source
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
On Geometric Phase Model in the Theory of Curves With Myller Configuration
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
wiley +1 more source
On algebraic Lie groups and algebr̀as [PDF]
openaire +3 more sources
Novel Bernstein‐Kantorovich Type Operators
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley +1 more source

