Cover Image

On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Auscher, Pascal, Monniaux, Sylvie, Portal, Pierre
Format:	Preprint
Published:	2015
Subjects:	Analysis of PDEs Functional Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Non-linear parabolic PDEs with rough coefficients and critical data: existence, uniqueness and regularity of weak solutions
by: Auscher, Pascal, et al.
Published: (2026)

On well-posedness for parabolic Cauchy problems of Lions type with rough initial data
by: Auscher, Pascal, et al.
Published: (2024)

Existence and uniqueness of weak solutions to quasilinear PDEs with critical data
by: Bechtel, Sebastian, et al.
Published: (2026)

Fundamental solutions to Kolmogorov-Fokker-Planck equations with rough coefficients: existence, uniqueness, upper estimates
by: Auscher, Pascal, et al.
Published: (2024)

Fundamental solutions for parabolic equations and systems: universal existence, uniqueness, representation
by: Auscher, Pascal, et al.
Published: (2024)

Homogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients
by: Piatnitski, Andrey, et al.
Published: (2025)

The magnetohydrodynamical system in bounded non smooth domains of dimension $n\ge3$
by: Monniaux, Sylvie
Published: (2025)

On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces
by: Auscher, Pascal, et al.
Published: (2023)

Weak solutions to Kolmogorov-Fokker-Planck equations: regularity, existence and uniqueness
by: Auscher, Pascal, et al.
Published: (2024)

Well-posedness and stability for a class of solutions of semi-linear diffusion equations with rough coefficients
by: Xuan, Pham Truong, et al.
Published: (2021)

Discarding Lavrentiev's Gap in Non-autonomous and Non-Convex Variational Problems
by: Borowski, Michał, et al.
Published: (2024)

On the existence of minimizing sets for a weakly-repulsive non-local energy
by: Carazzato, Davide, et al.
Published: (2023)

Using wave packet decompositions to construct function spaces: a user guide
by: Portal, Pierre
Published: (2026)

Strong solutions to the Keller-Segel-Navier-Stokes system in bounded Lipschitz domains
by: Hieber, Matthias, et al.
Published: (2025)

Quasilinear Cauchy-Dirichlet problem for parabolic equations with $VMO_x$ coefficients
by: Rosamaria, Rescigno
Published: (2025)

On analysis of problems of mathematical physics with non-Lipschitz boundaries
by: Rozanova-Pierrat, Anna
Published: (2025)

Global existence for an isotropic modification of the Boltzmann equation
by: Snelson, Stanley
Published: (2023)

The existence of solutions of Schrödinger equations with essence resonance
by: Li, Chong
Published: (2026)

Meyers exponent rules the first-order approach to second-order elliptic boundary value problems
by: Auscher, Pascal, et al.
Published: (2025)

Global existence and multiplicity of solutions for logarithmic Schrödinger equations on graphs
by: Shao, Mengqiu
Published: (2024)

Apodictic discourse and the Cauchy-Bunyakovsky-Schwarz inequality
by: Kichenassamy, Satyanad
Published: (2025)

Operator estimates in homogenization of Lévy-type operators with periodic coefficients
by: Piatnitski, Andrey, et al.
Published: (2024)

On well-posedness for non-autonomous parabolic Cauchy problems with rough initial data
by: Hou, Hedong
Published: (2025)

Kinetic Sobolev Spaces
by: Auscher, Pascal, et al.
Published: (2026)

Quadratic estimates for degenerate elliptic systems on manifolds with lower Ricci curvature bounds and boundary value problems
by: Auscher, Pascal, et al.
Published: (2022)

On domains of elliptic operators with distributional coefficients
by: Zachhuber, Immanuel
Published: (2025)

On existence, uniqueness and radiality of normalized solutions to Schrödinger-Poisson equations with non-autonomous nonlinearity
by: Wu, Chengcheng
Published: (2023)

On Hardy-Littlewood-Sobolev estimates for degenerate Laplacians
by: Auscher, Pascal, et al.
Published: (2025)

On Li-Lin's open problem
by: Tang, Zhi-Yun, et al.
Published: (2024)

Quality of non-compactness for Sobolev Embedding with one point non-compactness
by: Chuah, Chian Yeong, et al.
Published: (2023)

The principal eigenvalue problem for time-periodic nonlocal equations with drift
by: Cloez, Bertrand, et al.
Published: (2024)

A Nehari manifold method for nonvariational problems
by: Precup, Radu, et al.
Published: (2025)

Nonlocal problem for Laplace equation in Bochner spaces
by: Bilalov, Bilal, et al.
Published: (2026)

Optimal regularity results for the Stokes--Dirichlet problem
by: Breit, Dominic, et al.
Published: (2025)

The vanishing discount problem for nonlocal Hamilton-Jacobi equations
by: Davini, Andrea, et al.
Published: (2025)

Second microlocalization and Fredholm theory for the three-body problem
by: Ma, Yilin
Published: (2024)

The Li-Lin's open problem on $\mathbb{R}^N$
by: Tang, Zhi-Yun, et al.
Published: (2025)

The variational approach of an elliptic problem and its solution by finite elements
by: Goga, Eriselda, et al.
Published: (2021)

Homogenization of non-symmetric convolution type operators
by: Piatnitski, Andrey, et al.
Published: (2025)

The Dirichlet problem for the $p(x)$-Laplacian with unbounded exponent $p(x)$
by: Khamsi, M., et al.
Published: (2024)