5 papers
Fast Reconstruction of Exact Maxwell Dynamics from Sparse Data
Dan DeGenaro, Xin Li, Obed Amo +4
We introduce FLASH-MAX, a shallow, exact-by-construction neural network architecture for predicting homogeneous electromagnetic fields from sparse pointwise observations. Each hidd…
Partial regularity for -quasiconvex variational problems of linear growth
Christopher Irving, Zhuolin Li, Bogdan Raiţă
We prove that minimizers of variational integrals are partially continuous provid…
Comparison of polynomial matrix differential operators
Eduard Curcă, Bogdan Raiţă
We characterize matrix polynomials such that the inequality $$ \left\Vert Q(D)u\right\Vert _{L^{2}}\leq C\left\Vert P(D)u\right\Vert _{L^{2}}\quad\text{for all }u\in C_c^\inf…
Quasiconvexity and self-improving size estimates
Bogdan Raiţă
We show that Müller's bound for and holds f…
Partial regularity and higher integrability for A-quasiconvex variational problems
Zhuolin Li, Bogdan Raiţă
We prove that minimizers of variational problems on open sets $$ \mbox{minimize}\quad \mathcal E(v)=\int_Ωf(v(x))\mathrm{d} x\quad\text{for } \mathscr{A} v=…