Quasilinear parabolic equations and first order quasilinear conservation laws with bad Cauchy data
From MaRDI portal
Publication:2548725
DOI10.1016/0022-247X(71)90204-6zbMath0225.35053MaRDI QIDQ2548725
Publication date: 1971
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Generalized solutions to partial differential equations (35D99)
Related Items (9)
The pointwise estimate of solutions to the parabolic conservation law in multi-dimensions ⋮ An asymptotic supnorm estimate for solutions of 1-D systems of convection-diffusion equations ⋮ Weak solutions of nonlinear hyperbolic conservation laws ⋮ Some asymptotic properties for solutions of one-dimensional advection-diffusion equations with Cauchy data in \(L^p(\mathbb R)\). ⋮ Decay of solutions to anisotropic conservation laws with large initial data ⋮ A nonlinear equation in Banach spaces and applications to the well-posedness of Cauchy problems ⋮ Uniform decay rates for parabolic conservation laws ⋮ Pointwise estimates of solutions to conservation laws with nonlocal dissipation-type terms ⋮ Decay of solution to parabolic conservation laws
Cites Work
- Uniqueness and stability theorem for the generalized solution of the initial-value problem for a class of quasi-linear equations in several space variables
- Hyperbolic systems of conservation laws II
- Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
- On the equations $u_t + \nabla \cdot F\left( u \right) + 0$ and $u_t + \nabla \cdot F\left( u \right) = \nu \Delta u^1$
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Quasilinear parabolic equations and first order quasilinear conservation laws with bad Cauchy data
