Nonlocal evolution inclusions under weak conditions

Nonlocal Conditions for Lower Semicontinuous Parabolic Inclusions

Let Ω be an open bounded domain in N , N ≥ 2, with a smooth boundary ∂Ω. We denote the norm usually the Euclidean norm of x ∈ Ω by ‖x‖. Let T be a positive real number. Set QT Ω × 0, T and ΓT ∂Ω × 0, T . For u : D → we denote its partial derivatives when they exist by ut ∂u/∂t, uxi ∂u/∂xi, uxixj ∂ u/∂xi∂xj , i, j 1, . . . ,N. Let X C QT denote the Banach space of continuous functions u : QT → ,...

Existence of Mild Solutions of Semilinear Evolution Inclusions with Nonlocal Conditions

The existence of mild solutions of first order semilinear evolution inclusions on a compact real interval is investigated in Banach spaces with nonlocal conditions. A fixed point theorem for condensing maps due to Martelli is used. 2000 Mathematics Subject Classification: 34A60, 34G20, 35R10, 47H20

Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

Complex Fuzzy Evolution Equation with Nonlocal Conditions

The objective of this paper is to study the existence and uniqueness of Mild solutions for a complex fuzzy evolution equation with nonlocal conditions that accommodates the notion of fuzzy sets defined by complex-valued membership functions. We first propose definition of complex fuzzy strongly continuous semigroups. We then give existence and uniqueness result relevant to the complex fuzzy evo...

Weak values under uncertain conditions

We analyze the average of weak values over statistical ensembles of pre and post-selected states. The protocol of weak values, proposed by Aharonov et al. [3], is the result of a weak measurement conditional on the outcome of a subsequent strong (projective) measurement. Weak values can be beyond the range of eigenvalues of the measured observable and, in general, can be complex numbers. We sho...