Cover Image

A note on Tricomi-type partial differential equations with white noise initial condition

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bernardi, Enrico, Lanconelli, Alberto
Format:	Preprint
Published:	2025
Subjects:	Probability Analysis of PDEs 60H15, 60H05, 35R60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Regularization by noise for Gevrey well-posedeness of a weakly hyperbolic operator
by: Bernardi, Enrico, et al.
Published: (2026)

On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing
by: Huang, Jingyu, et al.
Published: (2023)

Well-posedness of stochastic evolution equations with Hölder continuous noise
by: Schmitz, Kerstin, et al.
Published: (2024)

Solving the Cahn-Hilliard equation with additive noise
by: Ghafari, Joe
Published: (2024)

Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions
by: Choi, Jae-Hwan, et al.
Published: (2024)

Pathwise uniqueness by noise for singular stochastic PDEs
by: Addona, Davide, et al.
Published: (2025)

Weak uniqueness by noise for singular stochastic PDEs
by: Bertacco, Federico, et al.
Published: (2023)

Exponential integrability of the solution to the stochastic Burgers equation driven by white noise
by: De Vecchi, Francesco C., et al.
Published: (2026)

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,σ}$ open sets
by: Kim, Kyeong-Hun, et al.
Published: (2025)

Existence of global and explosive mild solutions of fractional reaction-diffusion system of semilinear SPDEs with fractional noise
by: Sankar, S., et al.
Published: (2022)

On the support of solutions to nonlinear stochastic heat equations
by: Han, Beom-Seok, et al.
Published: (2024)

A remark on randomization of a general function of negative regularity
by: Oh, Tadahiro, et al.
Published: (2023)

Weak stability by noise for approximations of doubly nonlinear evolution equations
by: Orrieri, Carlo, et al.
Published: (2025)

Stability and convergence of the Euler scheme for stochastic linear evolution equations in Banach spaces
by: Li, Binjie, et al.
Published: (2022)

Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation
by: Li, Guopeng, et al.
Published: (2025)

Well-posedness of a reaction-diffusion model with stochastic dynamical boundary conditions
by: Maurelli, Mario, et al.
Published: (2023)

Central limit theorem for the Allen-Cahn equation with supercritical random initial conditions
by: Piernot, Colin, et al.
Published: (2026)

Global well posedness and ergodic results in regular Sobolev spaces for the nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity
by: Brzeźniak, Zdzisław, et al.
Published: (2024)

Long time behavior of the stochastic 2D Navier-Stokes equations
by: Ferrario, Benedetta, et al.
Published: (2025)

Fluctuations in the weakly coupled 4D Anderson Hamiltonian
by: Gabriel, Simon, et al.
Published: (2026)

Well-posedness of the Stochastic Degasperis-Procesi Equation
by: Arruda, Lynnyngs K., et al.
Published: (2024)

Malliavin Calculus for the stochastic heat equation and results on the density
by: Farazakis, D., et al.
Published: (2024)

Lower and upper bounds for the explosion times of a system of semilinear SPDEs
by: Sankar, S., et al.
Published: (2022)

Renormalization flow for the 2D nonlinear stochastic heat equation: pointwise statistics and universality
by: Dunlap, Alexander, et al.
Published: (2023)

Propagation of high peaks for the space-time fractional stochastic partial differential equations
by: Guerngar, Ngartelbaye, et al.
Published: (2024)

Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces
by: Bignamini, D. A., et al.
Published: (2020)

Well-posedness of the focusing stochastic nonlinear Schrödinger equation: $L^2$-critical and supercritical cases
by: Millet, Annie, et al.
Published: (2025)

Regularization by rough Kraichnan noise for the generalised SQG equations
by: Bagnara, Marco, et al.
Published: (2024)

Regularization by Nonlinear Noise for PDEs: Well-posedness and Finite Time Extinction
by: Hong, Wei, et al.
Published: (2024)

Dissipative Measure Valued Solutions to the Stochastic Compressible Navier-Stokes Equations and Inviscid-Incompressible Limit
by: Sarkar, Utsab
Published: (2022)

Stationary solutions to the stochastic Burgers equation on the line
by: Dunlap, Alexander, et al.
Published: (2019)

Weak approximation for stochastic reaction-diffusion equation near sharp interface limit
by: Cui, Jianbo, et al.
Published: (2023)

Global well-posedness of the energy-critical stochastic nonlinear wave equations
by: Brun, Enguerrand, et al.
Published: (2023)

The energy-critical stochastic nonlinear Schrödinger equation: well-posedness and blow-up
by: Millet, Annie, et al.
Published: (2026)

On the parabolic $Φ_3^4$ model for the harmonic oscillator: diagrams and local existence
by: Deya, Aurélien, et al.
Published: (2025)

Discrete stochastic maximal $ L^p $-regularity and convergence of a spatial semidiscretization for a linear stochastic heat equation
by: Li, Binjie, et al.
Published: (2023)

Malliavin Calculus for the stochastic Cahn-Hilliard equation driven by fractional noise
by: Dimitriou, Dimitrios, et al.
Published: (2026)

Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions
by: Tahraoui, Yassine, et al.
Published: (2023)

Weak well-posedness by transport noise for a class of 2D fluid dynamics equations
by: Galeati, Lucio, et al.
Published: (2023)

On existence of local and global strong solutions for the stochastic tamed Navier-Stokes equations on $\mathbb{R}^3$
by: Podder, Bikram, et al.
Published: (2026)