Demonstratio MathematicaThis paper investigates a Dirichlet problem for a system of logarithmic double-phase equations with variable exponents. The system is given by−div|∇u|α1(τ)−2∇u+μ(τ)log(e+|∇u|)+|∇u|β1(τ)(e+|∇u|)|∇u|β1(τ)−2∇u=h1(u,v) in D,−div|∇v|α2(τ)−2∇v+μ(τ)log(e+|∇v|)+|
Ahmed Ahmed +2 more
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Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
BIT Numer Math, 2022 Boehm U, Cox S, Gantner G, Stevenson R.
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On spatial Gevrey regularity for some strongly dissipative second order evolution equations
, 2019 Let A be a positive self-adjoint linear operator acting on a real Hilbert space H and α, c be positive constants. We show that all solutions of the evolution equation u" + Au + c A^α u' = 0 with u(0) ∈ D( A_1/2), u (0) ∈ H belong for all t > 0 to the ...
Haraux, Alain, Otani, Mitsuharu
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On the constancy theorem for anisotropic energies through differential inclusions. [PDF]
Calc Var Partial Differ Equ, 2021 Hirsch J, Tione R.
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Regularity of weak solutions to the 3D stationary tropical climate model
Open MathematicsThis article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then
Song Huiyang, Bie Qunyi, Zhou Yanping
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Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination. [PDF]
Acta Math Appl Sin, 2022 Feng XM, Liu LL, Zhang FQ.
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The initial-value problem for a Gardner-type equation
Advanced Nonlinear StudiesDiscussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry +4 more
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Higher integrability for doubly nonlinear parabolic systems. [PDF]
SN Partial Differ Equ Appl, 2022 Bögelein V, Duzaar F, Scheven C.
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Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth
Advances in Nonlinear AnalysisWe consider the functional ℱ(u)≔∫Ωf(x,Du(x))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }f\left(x,Du\left(x)){\rm{d}}x, where f(x,z)f\left(x,z) satisfies a (p,q)\left(p,q)-growth condition with respect to zz and can be ...
De Filippis Filomena +2 more
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Sharp Trace Regularity for the Solutions of the Equations of Dynamic Elasticity
, 1998 Sharp trace regularity results are obtained for the system of linear elasticity, relating the norm of the tangential derivative of the solution on the boundary to the norm of the time derivative.
Mary Ann Horn
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