Results 21 to 30 of about 261 (91)

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

Non-smooth variational problems and applications. [PDF]

Philos Trans A Math Phys Eng Sci, 2022
Kovtunenko VA, Itou H, Khludnev AM, Rudoy EM.   +3 more
europepmc   +1 more source

Determinism, well-posedness, and applications of the ultrahyperbolic wave equation in spacekime. [PDF]

Partial Differ Equ Appl Math, 2022
Wang Y, Shen Y, Deng D, Dinov ID.
europepmc   +1 more source

The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification. [PDF]

Sci Rep
Abda M, Berthet L, Hamedi M, Hibatullah D, Piollet E, Blake C, Blais B, Gosselin FP.   +7 more
europepmc   +1 more source

Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]

F1000Res
A J Al-Shatrah M, Sabah Hussein M.
europepmc   +1 more source

Implementing physics-informed neural networks with deep learning for differential equations. [PDF]

Front Artif Intell
Emmert-Streib F, Tripathi S, Farea A, Holzinger A.   +3 more
europepmc   +1 more source

Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]

Sci Rep
Long J, Khaliq A, Furati KM.
europepmc   +1 more source

Partial differential equations in data science. [PDF]

Philos Trans A Math Phys Eng Sci
Bertozzi AL, Drenska N, Latz J, Thorpe M.   +3 more
europepmc   +1 more source

A primer on variational inference for physics-informed deep generative modelling. [PDF]

Philos Trans A Math Phys Eng Sci
Glyn-Davies A, Vadeboncoeur A, Akyildiz OD, Kazlauskaite I, Girolami M.   +4 more
europepmc   +1 more source

Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks. [PDF]

Proc Natl Acad Sci U S A
Gao ML, Williams JP, Kutz JN.
europepmc   +1 more source