Found 64 Documents (Results 1–64)
Analysis of a space-time phase-field fracture complementarity model and its optimal control formulation. (English) Zbl 07920197
Curvature effects in pattern formation: well-posedness and optimal control of a sixth-order Cahn-Hilliard equation. (English) Zbl 1543.35092
Deterministic optimal control on Riemannian manifolds under probability knowledge of the initial condition. (English) Zbl 1539.49022
Fuglede-type arguments for isoperimetric problems and applications to stability among convex shapes. (English) Zbl 1534.49032
Mass optimization problem with convex cost. (English) Zbl 1533.49008
Reviewer: Fabio Paronetto (Padova)
A quantitative Sobolev regularity for absolute minimizers involving Hamiltonian \(H(p)\) in plane. (English) Zbl 1505.35170
Differentiability with respect to the initial condition for Hamilton-Jacobi equations. (English) Zbl 1498.35168
\(\mathcal{A}\)-quasiconvexity, Gårding inequalities, and applications in PDE constrained problems in dynamics and statics. (English) Zbl 1470.35233
Generalized multiscale Young measures. (English) Zbl 1445.28002
Reviewer: Daniele Puglisi (Catania)
A simple counterexample to the Monge ansatz in multimarginal optimal transport, convex geometry of the set of Kantorovich plans, and the Frenkel-Kontorova model. (English) Zbl 1429.49048
Optimal releases for population replacement strategies: application to Wolbachia. (English) Zbl 1421.92029
A Ginzburg-Landau-type problem for highly anisotropic nematic liquid crystals. (English) Zbl 1454.35360
Reviewer: Baasansuren Jadamba (Rochester)
Breaking the curse of dimension in multi-marginal Kantorovich optimal transport on finite state spaces. (English) Zbl 1395.49009
The entropic regularization of the Monge problem on the real line. (English) Zbl 1395.49018
Reviewer: Sorin-Mihai Grad (Chemnitz)
On the variational formulation of some stationary second-order mean field games systems. (English) Zbl 1384.49031
Differentiability of the Dirichlet to Neumann map under movements of polygonal inclusions with an application to shape optimization. (English) Zbl 1401.35337
Reviewer: Jonathan Rohleder (Stockholm)
Shape optimization for a class of semilinear variational inequalities with applications to damage models. (English) Zbl 1350.49063
Ground states of a two phase model with cross and self attractive interactions. (English) Zbl 1352.49009
Reviewer: Alain Brillard (Riedisheim)
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. (English) Zbl 1347.49078
Optimal distribution of oppositely charged phases: perfect screening and other properties. (English) Zbl 1338.49024
Kullback-Leibler approximation for probability measures on infinite dimensional spaces. (English) Zbl 1342.60049
Existence and approximation for variational problems under uniform constraints on the gradient by power penalty. (English) Zbl 1323.49009
Convex integration and infinitely many weak solutions to the Perona-Malik equation in all dimensions. (English) Zbl 1320.35243
Asymptotic behavior of gradient flows driven by nonlocal power repulsion and attraction potentials in one dimension. (English) Zbl 1328.49043
On the consistency of compressed modes for variational problems associated with the Schrödinger operator. (English) Zbl 1308.49044
The problem of minimal resistance for functions and domains. (English) Zbl 1304.49090
Reviewer: Vasile Oproiu (Iaşi)
A general condition for Monge solutions in the multi-marginal optimal transport problem. (English) Zbl 1293.49109
A Hamilton-Jacobi equation for the continuum limit of nondominated sorting. (English) Zbl 1288.35190
Corrigendum to: “Symmetry of uniaxial global Landau-de Gennes minimizers in the theory of nematic liquid crystals”. (English) Zbl 1283.35006
On a class of optimal transportation problems with infinitely many marginals. (English) Zbl 1278.49031
Reviewer: Guy Jumarie (Montréal)
Symmetry of uniaxial global Landau-de Gennes minimizers in the theory of nematic liquid crystals. (English) Zbl 1270.35030
SIAM J. Math. Anal. 44, No. 5, 3217-3241 (2012); corrigendum ibid. 45, No. 6, 3872-3874 (2013).
Uniqueness and Monge solutions in the multimarginal optimal transportation problem. (English) Zbl 1248.49061
Optima and equilibria for a model of traffic flow. (English) Zbl 1236.90024
Reviewer: Martin Gugat (Erlangen)
Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with nonhomogeneous Neumann B.C. through an additional Dirichlet boundary trace. (English) Zbl 1230.35144
Reviewer: Baasansuren Jadamba (Rochester)
Comment on “Functions and domains having minimal resistance under a single-impact assumption”. (English) Zbl 1201.49026
An extended conjugate point theory with application to the stability of planar buckling of an elastic rod subject to a repulsive self-potential. (English) Zbl 1185.49025
Billiard scattering on rough sets: two-dimensional case. (English) Zbl 1196.37068
Reviewer: Xingfu Zou (London, Ontario)
The \(\infty\)-Wasserstein distance: local solutions and existence of optimal transport maps. (English) Zbl 1158.49043
\(\Gamma\)-convergence of power-law functionals, variational principles in \(L^{\infty},\) and applications. (English) Zbl 1166.35300
On symmetric functionals of the gradient having symmetric equidistributed minimizers. (English) Zbl 1126.46020
Reviewer: Agnieszka Kalamajska (Warszawa)
Optimal rate of convergence of the Bence–Merriman–Osher algorithm for motion by mean curvature. (English) Zbl 1101.35006
Reviewer: Angela Handlovičová (Bratislava)
A model for the optimal planning of an urban area. (English) Zbl 1109.49027
Reviewer: Alfred Göpfert (Halle)
On averaging principles: An asymptotic expansion approach. (English) Zbl 1072.34054
Reviewer: Elena Ya. Gorelova (Samara)
Sequences of singularly perturbed functionals generating free-discontinuity problems. (English) Zbl 1058.49021
Reviewer: Fabián Flores-Bazan (Concepción)
Functions and domains having minimal resistance under a single-impact assumption. (English) Zbl 1034.49013
Global optimality criterion and a duality with a zero gap in nonconvex optimization. (English) Zbl 0793.90057
Existence and control of plasma equilibrium in a Tokamak. (English) Zbl 0614.35082
Reviewer: L.Shih
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