Nonlocal operators of order near zero - ScienceDirectDirichlet formsIntegral operatorsNonlocal equationsCompact embeddingsWe study Dirichlet forms defined by nonintegrableErnesto CorreaArturo de PabloJournal of Mathematical Analysis and Applications
Space memory is a term that is used to establish that the diffusion coefficient is anomalous Dκ because the nuclear reactor is a heterogeneous system that is a function of the space-anomalous diffusion exponent κ, and the nonlocal effects approximated with differential operators in spatial coordina...
In this paper, the nonlocal boundary value problems for a class of nonlinear functional convection reaction-diffusion equations with the singular reaction function are studied by using the method of upper and lower solutions and monotone iterative technique. Some of sufficient results on the existence ...
In particular, much interest has developed regarding the abstract fractional Cauchy problems involving nonlocal initial conditions. For example, by using the fractional power of operators and some fixed point theorems, the authors studied the existence of mild solutions in [14] for fractional differenti...
operators of the form , where is a Bernstein function. Note that in the theorems and remark above we do not assume that is bounded. Remarks on the Nonlocal Dirichlet Problem 123 Remark 1.4 We emphasize that in the case of L being the fractional Laplace opera- tor of order 0 2 and 2 ...
IV. Poynting vector, energy densities, and other quadratic operators of the electromagnetic field. Phys. Rev. A 1992, 45, 54–63. [Google Scholar] [CrossRef] Passante, R.; Power, E.A.; Thirunamachandran, T. Radiation-molecule coupling using dynamic polarizabilities: Application to many-body...
In this paper, we focus on the bending behavior of isotropic doubly-curved nanoshells based on a high-order shear deformation theory, whose shape functions are selected as an accurate combination of exponential and trigonometric functions instead of the