Existence of a sign-changing weak solution to doubly nonlinear parabolic equations
DOI10.1007/s12220-022-01087-8zbMath1504.35095OpenAlexW4309194447MaRDI QIDQ2105915
Kenta Nakamura, Masashi Misawa
Publication date: 8 December 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-022-01087-8
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Parabolic systems with \({p,q}\)-growth: a variational approach
- Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation
- Degenerate parabolic equations
- Doubly nonlinear equations of porous medium type
- On the uniform convexity of \(L^p\) and \(l^p\)
- Local behaviour of solutions to doubly nonlinear parabolic equations
- Remarks on the regularity of the minimizers of certain degenerate functionals
- Quasilinear elliptic-parabolic differential equations
- Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
- Heat flow of \(p\)-harmonic maps with values into spheres
- Existence of a weak solution to the \(p\)-Sobolev flow
- On the Hölder regularity of signed solutions to a doubly nonlinear equation
- Regularity estimates for the \(p\)-Sobolev flow
- Existence of weak solutions of doubly nonlinear parabolic equations
- Existence of solutions to a diffusive shallow medium equation
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Local boundedness of a mixed local-nonlocal doubly nonlinear equation
- A regularized gradient flow for the \(p\)-elastic energy
- Global existence for the \(p\)-Sobolev flow
- Existence for singular doubly nonlinear systems of porous medium type with time dependent boundary values
- The higher integrability of weak solutions of porous medium systems
- Global solutions of semilinear parabolic equations on negatively curved Riemannian manifolds
- On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
- Local Hoelder continuity for doubly nonlinear parabolic equations
- Pointwise estimates and quasilinear parabolic equations
- Higher integrability for doubly nonlinear parabolic systems
This page was built for publication: Existence of a sign-changing weak solution to doubly nonlinear parabolic equations
