Results 51 to 60 of about 394,604 (313)
Risks, 2020 In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner +2 more
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A multiscale method for semilinear elliptic equations
Journal of Mathematical Analysis and Applications, 2008 AbstractAt present there are many papers, based on multiscale expansion and homogenization theory, to deal with nonlinear problems with microstructure. But there is no systematic method to deal with all of the possible nonlinear partial differential equations since different nonlinear problems gives rise to different multiscale expansions parameters ...
Yanping Lin +2 more
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Analysis of Optimal Control Problems of Semilinear Elliptic Equations by BV-Functions [PDF]
Set-Valued and Variational Analysis, 2017 Optimal control problems for semilinear elliptic equations with control costs in the space of bounded variations are analysed. BV-based optimal controls favor piecewise constant, and hence ’simple’ controls, with few jumps. Existence of optimal controls,
E. Casas, K. Kunisch
semanticscholar +1 more source
On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential [PDF]
Journal of Differential Equations 296(2021) 170-185, 2020 We study a class of fractional semilinear elliptic equations and formulate the corresponding Calder\'on problem. We determine the nonlinearity from the exterior partial measurements of the Dirichlet-to-Neumann map by using first order linearization and the Runge approximation property.
arxiv +1 more source
, 2015 We generalize the notion of renormalized solution to semilinear elliptic and parabolic equations involving operator associated with general (possibly nonlocal) regular Dirichlet form and smooth measure on the right-hand side.
Klimsiak, Tomasz, Rozkosz, Andrzej
core +1 more source
On a class of semilinear elliptic problems near critical growth
International Journal of Mathematics and Mathematical Sciences, 1998 We use Minimax Methods and explore compact embedddings in the context of Orlicz and Orlicz-Sobolev spaces to get existence of weak solutions on a class of semilinear elliptic equations with nonlinearities near critical growth. We consider both biharmonic
J. V. Goncalves, S. Meira
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On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
, 2007 We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients.
Bandle C. +14 more
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Optimal control of fractional semilinear PDEs
, 2019 In this paper we consider the optimal control of semilinear fractional PDEs with both spectral and integral fractional diffusion operators of order $2s$ with $s \in (0,1)$.
Antil, Harbir, Warma, Mahamadi
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Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn
International Journal of Mathematics and Mathematical Sciences, 2000 We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.
Mohammad Mujalli Al-Mahameed
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Symmetry breaking and semilinear elliptic equations
Journal of Computational and Applied Mathematics, 1989 It is a readily observable fact that many physical and mathematical systems possess a degree of symmetry and that a study of this symmetry may give us valuable insight into their behaviour. It is particularly interesting that symmetric systems exist which possess non-symmetric solutions and where this solution branch arises from a symmetry breaking ...
openaire +2 more sources