Topological structure of solution sets of differential inclusions: the constrained case
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 325-351, 2003., 2003 We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so‐called regular and strictly regular ...
Wojciech Kryszewski
wiley +1 more source
Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations [PDF]
, 2012 This study deals with the analysis of the Cauchy problem of a general class of nonlocal nonlinear equations modeling the bi-directional propagation of dispersive waves in various contexts.
Babaoglu, Ceni +4 more
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Existence of extremal periodic solutions for quasilinear parabolic equations
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 257-270, 1997., 1997 In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately defined upper and lower solutions.
Siegfried Carl
wiley +1 more source
A note on truncations in fractional Sobolev spaces [PDF]
, 2017 We study the Nemytskii operators $u\mapsto |u|$ and $u\mapsto u^{\pm}$ in fractional Sobolev spaces $H^s(\mathbb R^n)$, $s>1$.Comment: 9 ...
Musina, Roberta, Nazarov, Alexander I.
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Stationary Points of O'Hara's Knot Energies [PDF]
, 2012 In this article we study the regularity of stationary points of the knot energies $E^\alpha$ introduced by O'Hara in the range $\alpha \in (2,3)$.
Blatt, Simon, Reiter, Philipp
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Global Strong Solutions for a Class of Heterogeneous Catalysis Models
, 2016 We consider a mathematical model for heterogeneous catalysis in a finite three-dimensional pore of cylinder-like geometry, with the lateral walls acting as a catalytic surface.
Adams +32 more
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Quasilinear elliptic inclusions of hemivariational type: Extremality and compactness of the solution set [PDF]
, 2003 We consider the Dirichlet boundary value problem for an elliptic inclusion governed by a quasilinear elliptic operator of Leray–Lions type and a multivalued term which is given by the difference of Clarke's generalized gradient of some locally Lipschitz ...
S. Carl +13 more
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On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Zeitschrift für Analysis und ihre Anwendungen, 1994 Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators N_F generated by a set-valued function F: \Omega \times X \to 2^Y
Rolewicz, S., Wen, Song
openaire +3 more sources
UNIFORMLY BOUNDED SUPERPOSITION OPERATORS IN THE SPACE OF SECOND BOUNDED VARIATION FUNCTIONS IN THE SENSE OF SHIBA [PDF]
, 2016 In this paper we introduce the notion of "function of second bounded variation" in the sense of Shiba, and we show that if a superposition operator applies the space of all such functions on itself and it is uniformly bounded, then its generating ...
Gim\ue9nez, Jos\ue9
core
, 2016 This paper is concerned with the strong approximation of a semi-linear stochastic wave equation with strong damping, driven by additive noise. Based on a spatial discretization performed by a spectral Galerkin method, we introduce a kind of accelerated ...
Qi, Ruisheng, Wang, Xiaojie
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