Spatial Besov regularity for semilinear stochastic partial differential equations on bounded Lipschitz domains PA Cioica, S Dahlke
International Journal of Computer Mathematics 89 (18), 2443-2459, 2012
72 2012 Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains PA Cioica, S Dahlke, S Kinzel, F Lindner, T Raasch, K Ritter, RL Schilling
Studia Math. 207 (3), 197-234, 2011
70 2011 On the Lq (Lp)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains PA Cioica, KH Kim, K Lee, F Lindner
Electron. J. Probab 18 (82), 1-41, 2013
37 2013 Deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear partial differential equations PA Cioica-Licht, M Hutzenthaler, PT Werner
arXiv preprint arXiv:2205.14398, 2022
18 2022 Adaptive wavelet methods for the stochastic Poisson equation PA Cioica, S Dahlke, N Döhring, S Kinzel, F Lindner, T Raasch, K Ritter, ...
BIT Numerical Mathematics 52 (3), 589-614, 2012
18 2012 On the regularity of the stochastic heat equation on polygonal domains in R2 PA Cioica-Licht, KH Kim, K Lee
Journal of Differential Equations 267 (11), 6447-6479, 2019
16 2019 Besov regularity of stochastic partial differential equations on bounded Lipschitz domains PA Cioica
Dissertation, Philipps-Universität Marburg, 2014, Logos Verlag Berlin GmbH, 2015
13 2015 An -estimate for the stochastic heat equation on an angular domain in PA Cioica-Licht, KH Kim, K Lee, F Lindner
Stoch. Partial Differ. Equ. Anal. Comput. 6 (1), 45-72, 2018
12 2018 On the limit regularity in Sobolev and Besov scales related to approximation theory PA Cioica-Licht, M Weimar
Journal of Fourier Analysis and Applications 26 (1), 10, 2020
10 2020 Convergence analysis of spatially adaptive Rothe methods PA Cioica, S Dahlke, N Döhring, U Friedrich, S Kinzel, F Lindner, ...
Foundations of Computational Mathematics 14, 863-912, 2014
9 2014 Besov Regularity for the Stationary Navier-Stokes Equation on Bounded Lipschitz Domains F Eckhardt, PA Cioica-Licht, S Dahlke
Appl. Anal. 97 (3), 466-485, 2018
6 2018 Adaptive wavelet methods for SPDEs PA Cioica, S Dahlke, N Döhring, S Kinzel, F Lindner, T Raasch, K Ritter, ...
Extraction of Quantifiable Information from Complex Systems, 83-107, 2014
6 2014 Stochastic integration in quasi-Banach spaces PA Cioica-Licht, SG Cox, MC Veraar
Studia Mathematica 269, 1-64, 2023
3 * 2023 On the Convergence Analysis of the Inexact Linearly Implicit Euler Scheme for a Class of Stochastic Partial Differential Equations PA Cioica, S Dahlke, N Döhring, U Friedrich, S Kinzel, F Lindner, ...
Potential Analysis 44 (3), 473-495, 2016
3 2016 Inner products for Convex Bodies D Bryant, P Cioica-Licht, LO Clark, R Young
arXiv preprint arXiv:1811.03686, 2018
1 2018 Sobolev spaces with mixed weights and the Poisson equation on angular domains PA Cioica-Licht, C Schneider, M Weimar
arXiv preprint arXiv:2409.18615, 2024
2024 An -theory for the stochastic heat equation on angular domains in with mixed weights PA Cioica-Licht
arXiv preprint arXiv:2003.03782, 2020
2020 Konvergenzraten von Raum-Zeit-Approximationen stochastischer Evolutionsgleichungen PA Cioica