In this paper, we are concerned about the well-posedness of Vlasov-Poisson equation near vaccum in weighted Sobolev space \(W^{m, p}(w)\). The most difficult part comes from estimates electronic term \(\nabla_{x}\phi\). To overcome difficulty, establish \(L^p\)-\(L^q\) \(\nabla_{x}\phi\); some weight is introduced as well to obtain off-diagonal estimate. also useful when it control higher-order...

In this study, we introduce the classes of $phi$-strongly pseudocontractive mappings in the intermediate sense and generalized $Phi$-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. The results generalise the results of several authors in literature including Xiang [Chang He Xiang, Fixed point theorem for generalized $Phi$-pseudocontra...

Models of nonlinear quantum computation based on deterministic positive trace-preserving (PTP) channels and evolution equations are investigated. The models defined in any finite Hilbert space, but the main results for dimension N = 2 $ \! 2$ . For every normalizable linear or map ϕ bounded operators X, there is an associated normalized PTP channel ( X ) / tr [ ] \phi (X) {\rm tr}[\phi (X)]$ No...

in this study, we introduce the classes of $phi$-strongly pseudocontractive mappings in the intermediate sense and generalized $phi$-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. the results generalise the results of several authors in literature including xiang [chang he xiang, fixed point theorem for generalized $phi$-pseudocontra...

Abstract This paper develops a New Keynesian model featuring financial intermediation, short- and long-term bonds, credit shocks, scope for unconventional monetary policy. The log-linearized reduces to four equations: Phillips IS curves, as well policy rules the short-term interest rate central bank's long-bond portfolio (QE). Credit shocks QE appear in both curves. In equilibrium, optimal enta...

We investigated the scenario of time-dependent diffusive interaction between dark matter and energy showed that such a model can be accommodated within observations luminosity distance - redshift data in Supernova Ia (SNe Ia) observations. obtain constrains on different relevant parameters this from observational data. consider homogeneous scalar field $\phi(t)$ driven by $k-$essence Lagrangian...

Thermodynamical properties and phase diagram of asymmetric strange quark matter using the Polyakov chiral $$\text {SU(3)}$$ mean field (PCQMF) model at finite temperature chemical potential have been investigated. Within PCQMF model, are calculated through scalar fields $$\sigma $$ , $$\zeta $$\delta $$\chi vector $$\omega $$\rho $$\phi loop $$\Phi $$\bar{\Phi }$$ . The isospin splitting consti...

We obtain the nucleation rate of critical droplets for an elastic string moving in a phi(6) local potential and subject to noise and damping forces. The critical droplet is a bound soliton-antisoliton pair that carries a section of the string out of the metastable central minimum into one of the stable side minima. The frequencies of small oscillations about the critical droplet are obtained fr...

We study the existence of standing waves, prescribed $L^2$-norm (the mass), for nonlinear Schr\"{o}dinger equation with mixed power nonlinearities $$ i \partial_t \phi + \Delta \mu |\phi|^{q-2} |\phi|^{2^* - 2} = 0, \quad (t, x) \in R \times R^N, where $N \geq 3$, $\phi: R^N \to C$, $\mu > 0$, $2 < q 2 4/N $ and $2^* 2N/(N-2)$ is critical Sobolev exponent. It was already proved that, small mass...