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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 23
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 2, April 2016
  4. A conditional regularity result for p-harmonic flows
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 5, October 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 4, August 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 3, June 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 2, April 2016
A conditional regularity result for p-harmonic flows
A blow-up result in a nonlinear abstract evolution system with delay
The rate of decay of stable periodic solutions for Duffing equation with L p -conditions
Stabilization of the nonlinear damped wave equation via linear weak observability
Existence and uniqueness for p-Laplace equations involving singular nonlinearities
New patterns of travelling waves in the generalized Fisher–Kolmogorov equation
Existence of nonnegative viscosity solutions for a class of problems involving the $${\infty}$$ ∞ -Laplacian
A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $${\mathbb R^{N}}$$ R N
The dual approach to stationary and evolution quasilinear PDEs
Local boundedness of variational solutions to evolutionary problems with non-standard growth
Nonlinear nonhomogeneous periodic problems
$${\sigma_2}$$ σ 2 -Energy as a polyconvex functional on a space of self-maps of annuli in the multi-dimensional calculus of variations
Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations
Optimal control of continuity equations
Null controllability in large time of a parabolic equation involving the Grushin operator with an inverse-square potential
Picone’s identity for biharmonic operators on Heisenberg group and its applications
A stochastic nonlinear Schrödinger problem in variational formulation
Limit problems for a Fractional p-Laplacian as $${p\to\infty}$$ p → ∞
Mean-field SDEs with jumps and nonlocal integral-PDEs
Nonlinear Differential Equations and Applications NoDEA : Volume 23, Issue 1, February 2016
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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A conditional regularity result for p-harmonic flows

Content Provider SpringerLink
Author Mazowiecka, Katarzyna Ewa Kazaniecki, Krystian Strzelecki, Paweł Łasica, Michał
Copyright Year 2016
Abstract We prove an $${\varepsilon}$$ -regularity result for a wide class of parabolic systems $$u_t-\rm{div}\big(|\nabla u|^{p-2}\nabla u) = B(\cdot, u, \nabla u)$$ with the right hand side B growing critically, like $${|\nabla u|^p}$$ . It is assumed a priori that the solution $${u(t,\cdot)}$$ is uniformly small in the space of functions of bounded mean oscillation. The crucial tool is provided by a sharp nonlinear version of the Gagliardo–Nirenberg inequality which has been used earlier in the elliptic context by T. Rivière and the last named author.
Ending Page 13
Page Count 13
Starting Page 1
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 2
Volume Number 23
Language English
Publisher Springer International Publishing
Publisher Date 2016-03-24
Publisher Place Cham
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Geometric evolution equations (mean curvature flow, Ricci flow, etc.) Degenerate parabolic equations Analysis Quasilinear parabolic equations with $p$-Laplacian Nonlinear parabolic equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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