$PARAB parabolic

Latest papers

1. A unified Carleman approach to inverse problems for coupled parabolic and hyperbolic-ODE equations math.AP · 19 Oct · 1 hit

   We study inverse coefficient problems for two evolution equations with relaxation: a Kelvin--Voigt…

2. On nilpotent Lie algebras arising from parabolic subalgebras and quivers --- three-step cases math.DG · 19 Oct · 2 hits

   …nilpotency steps. In this paper, we focus on two of these methods. The first one is the nilpotent parts of parabolic subalgebras of semisimple Lie algebras. The second one is the nilpotent Lie algebras obtained by…

3. Semi-similar Prandtl Flows near a Stagnation Point: Dynamical Selection and Nonlinear Stability math.AP · 19 Oct · 1 hit

   …For semi-similar flows, the Crocco transformation reduces the problem to a one-dimensional degenerate parabolic equation. Combined with weighted barriers, comparison principles propagate time monotonicity and…

4. Cohomology and Representation Theory for Lie Superalgebras math.RT · 19 Oct · 3 hits

   …These encompass the well-known rational representations for a reductive algebraic group and the parabolic Category ${\mathcal O}$ for semisimple Lie algebras. Many of the important developments will be…

5. KernelPack-JAX: a meshless differentiable GPU framework for node generation and forward and inverse PDE problems math.NA · 18 Oct · 1 hit

   …algorithm that reproduces sequential Poisson-disk sampling exactly. We discretize elliptic and parabolic problems with radial basis function-generated finite differences (RBF-FD) on stencils selected by a…

6. Maximal $L^p$-$L^q$ regularity of finite element methods for stochastic parabolic equations in polygonal domains math.NA · 18 Oct · 1 hit

   We prove that a spatial semidiscrete finite element method preserves the stochastic maximal regularity of the…

7. Photon production at Kepler escape threshold gr-qc · 18 Oct · 1 hit

   …hyperbolic photon count remains IR divergent arbitrarily close to threshold, while the count at the exact parabolic threshold is finite.

8. Complex Representatives, Similarity Invariants, and Iterates in $\bf{U(1,1;\mathbb{H})}$ math.FA · 17 Oct · 1 hit

   …associated quaternionic M\"obius transformations. Building on the known elliptic case, we show that every parabolic or loxodromic element of $U(1,1;\mathbb H)$ is similar, via a matrix in $U(1,1;\mathbb H)$, to a…