Sentence examples for unbounded potential from inspiring English sources
It involves an explicit, curvature dependent and typically unbounded potential, and is again optimal in a suitable sense.
In this paper, we study blow-up criteria for the Cauchy problem (1.1 - 1.2) with p > 2 N + 2 b + 4 N, where the nonlinearity | x | b | u | p − 2 u includes an unbounded potential | x | b.
We use the variational minimizing method to study the existence of new nontrivial periodic solutions with a prescribed energy for second order Hamiltonian systems with singular potential V ∈ C 1 ( R n ∖ { 0 }, R ), which may have an unbounded potential well.
We recall Lieb Thirring type inequalities ([19]) from [6] given by: Let V be a non-negative, unbounded potential, such that the Schrödinger operator (-Delta +V) in (L^2({mathbb R}^d)) has an unbounded sequence of discrete eigenvalues (lambda _1leqslant lambda _2leqslant cdots ).
By using the variational minimizing method with a special constraint and the direct variational minimizing method without constraint, we study second-order Hamiltonian systems with a singular potential V ∈ C 2 ( R n ∖ O, R ) and V ∈ C 1 ( R 2 ∖ O, R ), which may have an unbounded potential well, and prove the existence of non-trivial periodic solutions with a prescribed energy.
In fact, we can investigate more general unbounded potentials in (mathbb{R}^{N}).
In 1940, Otis Ferguson, the plain-spoken film critic of The New Republic, saw unbounded democratic potential in this still-young art form's connection to the everyday.
I can't tell you for sure that it's going to be huge, but I can tell you for sure that bitcoin and the Blockchain are among the few things that have come along since the Internet itself with what feels like unbounded platform potential and optionality.
The age-period-cohort relationship is a special subset of a richer and unbounded set of potential time identities.
For a medium so unbounded by its potential for creating agency in viewers, Dear Angelica's strength comes from bringing your soul in line with the pain and euphoria of the daughter herself.
