Cover Image

Existence and uniqueness of weak solutions to quasilinear PDEs with critical data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bechtel, Sebastian, Auscher, Pascal
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Classical Analysis and ODEs 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)

The Kato square root estimate with Robin boundary conditions
by: Bechtel, Sebastian, et al.
Published: (2026)

A second order approach to the Kato square root problem on open sets
by: Bechtel, Sebastian, et al.
Published: (2024)

$BMO$ and gradient estimates for solutions of critical elliptic equations
by: Chen, You-Wei Benson, et al.
Published: (2024)

Weighted non-autonomous $L^q(L^p)$ maximal regularity for complex systems
by: Bechtel, Sebastian
Published: (2022)

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

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

Existence Result for Singular Second Order Dynamic Equations with Mixed Boundary Conditions
by: Bandyopadhyay, Shalmali, et al.
Published: (2025)

A new scale of function spaces characterizing homogeneous Besov spaces
by: Auscher, Pascal, et al.
Published: (2025)

The sharp log Sobolev inequality on finite cycles
by: Frank, Rupert L., et al.
Published: (2026)

Weighted Sobolev Spaces and Distributional Spectral Theory for Generalized Aging Operators via Transmutation Methods
by: Dorrego, Gustavo
Published: (2026)

Bourgain-Brezis-Mironescu formula for Riesz Potentials
by: Claros, Alejandro, et al.
Published: (2026)

Boundary estimates for the fractional spherical maximal function
by: Basak, Riju, et al.
Published: (2026)

Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights
by: Huang, Yi C., et al.
Published: (2025)

Potential trace inequalities via a Calderón-type theorem
by: Mihula, Zdeněk, et al.
Published: (2024)

Riesz transforms associated with the twisted Laplacian with drift
by: Garg, Nishta, et al.
Published: (2024)

Equivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space
by: Bui, The Anh, et al.
Published: (2023)

Some capacitary strong type inequalities and related function spaces
by: Ooi, Keng Hao, et al.
Published: (2025)

How smooth are restrictions of Besov functions?
by: Brasseur, Julien
Published: (2025)

Dynamical restriction for Schrödinger equations
by: Nicola, Fabio
Published: (2025)

Homogeneous Sobolev and Besov spaces on special Lipschitz domains and their traces
by: Gaudin, Anatole
Published: (2023)

On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator
by: Basak, Riju, et al.
Published: (2025)

Vibration modes of the Euler-Bernoulli beam equation with singularities
by: Dias, Nuno Costa, et al.
Published: (2023)

Stable blowup for supercritical wave maps into perturbed spheres
by: Donninger, Roland, et al.
Published: (2025)

Formation of multiple flocks in a simple nonlocal aggregation model
by: Clark, Carrie
Published: (2021)

A multiplicative inequality of Riesz transform type on general Riemannian manifolds
by: Ouhabaz, El Maati
Published: (2024)

Sharp quantitative integral inequalities for harmonic extensions
by: Frank, Rupert L., et al.
Published: (2025)

On dimension stable spaces of measures
by: Spector, Daniel, et al.
Published: (2024)

Some Remarks on the Riesz and reverse Riesz transforms on Broken Line
by: He, Dangyang
Published: (2025)

Sharp Poincaré--Sobolev Inequalities of Choquet--Lorentz Integrals with Respect to Hausdorff Contents on Bounded John Domains
by: Huang, Long, et al.
Published: (2023)

Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions
by: Hashash, Paz, et al.
Published: (2023)

Sharp extension problem characterizations for higher fractional power operators in Banach spaces
by: Biswas, A., et al.
Published: (2023)

A characterization of wavelet sets on Vilenkin groups with its application to construction of MRA wavelets
by: Liu, Jun, et al.
Published: (2024)

Fourier inversion theorems for integral transforms involving Bessel functions
by: Gorshkov, Alexey
Published: (2021)

Multi-parameter maximal Fourier restriction
by: Bulj, Aleksandar, et al.
Published: (2022)

Nontrivial nonnegative weak solutions to fractional $p$-Laplace inequalities
by: Liu, Liguang
Published: (2025)

Nontrivial weak solutions of the stationary KdV equation in sharp $L^p$ spaces
by: Pathak, Mandon
Published: (2026)

Hanke-Raus heuristic rule for iteratively regularized stochastic gradient descent
by: Bajpai, Harshit, et al.
Published: (2024)

A tourist's guide to regularity structures and singular stochastic PDEs
by: Bailleul, I., et al.
Published: (2020)

An existence and uniqueness result about algebras of Schwartz distributions
by: Dias, Nuno Costa, et al.
Published: (2023)