On a q‐Laplace–type integral operator and certain class of series expansion
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DOI: 10.1002/mma.6002
Abstract: In this paper, we develop a q‐theory of the q‐Laplace–type integral operators qL2 and ql2 introduced by Uçar and Albayrak in 2011. We derive several identities and establish various results related to the q‐Laplace–type integral… read more here.
Keywords: type integral; series; operator certain; integral operator ... See more keywords
New blow‐up conditions to p‐Laplace type nonlinear parabolic equations under nonlinear boundary conditions
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DOI: 10.1002/mma.7172
Abstract: In this paper, we study blow‐up phenomena of the following p‐Laplace type nonlinear parabolic equations ut=∇·ρ(|∇u|p)|∇u|p−2∇u+f(x,t,u),inΩ×(0,t∗), under nonlinear mixed boundary conditions ρ(|∇u|p)|∇u|p−2∂u∂n+θ(z)ρ(|u|p)|u|p−2u=h(z,t,u),onΓ1×(0,t∗), and u=0 on Γ2 × (0, t∗) such that Γ1∪Γ2=∂Ω , where f and h are… read more here.
Keywords: parabolic equations; boundary conditions; type nonlinear; laplace type ... See more keywords
Asymptotic expansion of double Laplace-type integrals with a curve of minimal points and application to an exit time problem
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DOI: 10.1515/ms-2017-0006
Abstract: Abstract In this paper we consider the problem of the asymptotic expansion of double Laplace-type integrals, in the case when the set γ of points where the phase achieves its absolute minimum is a simple… read more here.
Keywords: laplace type; expansion; double laplace; expansion double ... See more keywords
A Laplace-type representation for some generalized spherical functions of type $BC$
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DOI: 10.4064/cm7350-1-2018
Abstract: In [M. R\"osler and M. Voit. Integral Representation and Uniform Limits for Some Heckman-Opdam Hypergeometric Functions of type BC, Transactions of the American Mathematical Society, Vol. 368, No. 8, 6005-6032, 2016.], R\"osler and Voit give… read more here.
Keywords: representation; laplace type; generalized spherical; spherical functions ... See more keywords