We prove Strichartz estimates for the Schrödinger operator H = −∆+V (t, x) with timeperiodic complex potentials V belonging to the scaling-critical space L n/2 x L ∞ t in dimensions n ≥ 3. This is done directly from estimates on the resolvent rather than using dispersive bounds, as the latter generally require a stronger regularity condition than what is stated above. In typical fashion, we pro...

We show that the resolvent of the Laplacian on SL(3,R)/SO(3) can be lifted to a meromorphic function on a Riemann surface which is a branched covering of C. The poles of this function are called the resonances of the Laplacian. We determine all resonances and show that the corresponding residue operators are given by convolution with spherical functions parameterized by the resonances. The rang...

In this paper using a transform defined by the translation operator we introduce concept of spectrum sequences that are bounded given polynomial. We apply spectral theory to study asymptotic behavior solutions fractional linear difference equations. One obtained results is an extension famous Katznelson-Tzafriri Theorem, saying ?-resolvent associated with equation, satisfies estimate type, prov...

We show that there exists a real non-singular pseudoholomorphic sextic curve in the affine plane which is not isotopic to any real algebraic sextic curve. This result completes the isotopy classification of real algebraic affine M -curves of degree 6. Comparing this with the isotopy classification of real affine pseudoholomorphic sextic M -curves obtained earlier by the first author, we find th...

The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA). A Fuzzy Neutrosophic Soft Matrix (FNSM) is said to have Strong, Linear Independent (SLI) column (or, in the case of fuzzy neutrosophic soft square matrices, to be strongly r...

in this paper, we consider first-order fuzzy differential equations with initial value conditions. the convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized h-differentiability, are studied. then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of ...

Some results on the existence of solution for certain fuzzy equations are revised and extended. In this paper, we establish the existence of a solution for the fuzzy equation Ex2 +Fx+G= x, where E, F, G, and x are positive fuzzy numbers satisfying certain conditions. To this purpose, we use fixed point theory, applying results such as the wellknown fixed point theorem of Tarski, presenting some...

There have been a lot of works concerning the Strichartz estimates for perturbed Schrödinger equation by potential. These can be basically carried out adopting well-known procedure obtaining from weighted L2 resolvent Laplacian. In this paper we handle without relying on estimates. This enables us to consider various potential classes such as Morrey–Campanato classes.