Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings
Advances in Nonlinear Analysis, 2015 We deal with a class of inhomogeneous elliptic problems involving the biharmonic operator Δ2u + V(|x|)|u|q-2u = Q(|x|)f(u), u ∈ D02,2(ℝN), where Δ2 is the biharmonic operator and V, Q are singular continuous functions.
Demarque Reginaldo, Miyagaki Olimpio H.
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Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media [PDF]
, 2018 This paper proposes to address the issue of complexity reduction for the numerical simulation of multiscale media in a quasi-periodic setting. We consider a stationary elliptic diffusion equation defined on a domain $D$ such that $\overline{D}$ is the ...
Ayoul-Guilmard, Quentin +2 more
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Regularity for Maxwell eigenproblems in photonic crystal fibre modelling [PDF]
, 2015 International audienceThe convergence behaviour and the design of numerical methods for modelling the flow of light in photonic crystal fibres depend critically on an understanding of the regularity of solutions to time-harmonic Maxwell equations in a ...
Dauge, Monique +2 more
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A free boundary tumor model with time dependent nutritional supply [PDF]
, 2020 A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential equation describing the ...
Caraballo Garrido, Tomás +3 more
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Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases [PDF]
, 2012 In this paper we examine in detail the procedure of averaging of the local field-theoretic Poisson brackets proposed by B.A. Dubrovin and S.P. Novikov for the method of Whitham.
Maltsev, Andrei Ya.
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ComPhy: Prokaryotic Composite Distance Phylogenies Inferred from Whole-Genome Gene Sets [PDF]
, 2009 doi:10.1186/1471-2105-10-S1-S5With the increasing availability of whole genome sequences, it is becoming more and more important to use complete genome sequences for inferring species phylogenies.
Cai, Zhipeng +4 more
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Almost periodic solutions of periodic linear partial functional differential equations
, 2018 We study conditions for the abstract periodic linear functional differential equation $\dot{x}=Ax+F(t)x_t+f(t)$ to have almost periodic with the same structure of frequencies as $f$.
Luong, Vu Trong, Van Minh, Nguyen
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Almost periodic mild solutions of a class of partial functional differential equations [PDF]
, 1998 We study the existence of almost periodic mild solutions of a class of partial functional differential equations via semilinear almost periodic abstract functional differential equations of the form (*)
Bernd Aulbach, Nguyen Van Minh
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Traveling waves for the cubic Szego equation on the real line
, 2010 We consider the cubic Szego equation i u_t=Pi(|u|^2u) on the real line, with solutions in the Hardy space on the upper half-plane, where Pi is the Szego projector onto the non-negative frequencies. This equation was recently introduced by P. Gerard and S.
Pocovnicu, Oana
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Nonautonomous Dynamical SystemsIn this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode +2 more
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