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For arbitrary 1 < p < ∞ , but again in the starlike case, we obtain a global convergence proof for a particular analytical trial free boundary method for the

Abstract: The existence and uniqueness of local and global solutions for the Kirchhoff–Carrier nonlinear model for the vibrations of elastic strings in noncylindrical domains

(The Elliott-Halberstam conjecture does allow one to take B = 2 in (1.39), and therefore leads to small improve- ments in Huxley’s results, which for r ≥ 2 are weaker than the result

Lang, The generalized Hardy operators with kernel and variable integral limits in Banach function spaces, J.. Sinnamon, Mapping properties of integral averaging operators,

We obtain a ‘stability estimate’ for strong solutions of the Navier–Stokes system, which is an L α -version, 1 < α < ∞ , of the estimate that Serrin [Se] used in

In these cases it is natural to consider the behaviour of the operator in the Gevrey classes G s , 1 < s < ∞ (for definition and properties see for example Rodino

We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation u t u xx − ax, tfu, 0 < x < 1, t ∈ 0, T, with boundary conditions

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