Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion
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Publication:2210148
DOI10.1007/s41808-020-00078-6zbMath1451.35067OpenAlexW3036086808MaRDI QIDQ2210148
André H. Erhardt, Gurusamy Arumugam
Publication date: 5 November 2020
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41808-020-00078-6
Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Semilinear parabolic equations (35K58) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Unnamed Item
- Unnamed Item
- Mathematical analysis of fluids in motion: from well-posedness to model reduction
- Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles
- Qualitative behavior of solutions to cross-diffusion systems from population dynamics
- Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
- Global regularity and stability of solutions to obstacle problems with nonstandard growth
- An eigenvalue problem with variable exponents
- A reaction-diffusion system with cross-diffusion modeling the spread of an epidemic disease
- Compact embedding for \(p(x,t)\)-Sobolev spaces and existence theory to parabolic equations with \(p(x,t)\)-growth
- Study of weak solutions for parabolic equations with nonstandard growth conditions
- Lebesgue and Sobolev spaces with variable exponents
- Existence theorems for solutions of parabolic equations with variable order of nonlinearity
- On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing. I: Analysis
- A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
- Modeling, mathematical and numerical analysis of electrorheological fluids.
- Higher integrability for solutions to parabolic problems with irregular obstacles and nonstandard growth
- New diffusion models in image processing
- Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
- Partial regularity of minimizers of quasiconvex integrals
- Error estimates for a Galerkin approximation of a parabolic control problem
- A necessary and sufficient condition for global existence for a degenerate parabolic boundary value problem
- Regularity results for electrorheological fluids: The stationary case
- Global higher regularity of solutions to singular \(p(x,t)\)-parabolic equations
- The stability of parabolic problems with nonstandard \(p(x,t)\)-growth
- A note on the uniqueness of weak solutions to a class of cross-diffusion systems
- Analysis of a degenerate parabolic cross-diffusion system for ion transport
- Local boundedness of weak solutions to the diffusive wave approximation of the shallow water equations
- Harnack inequality for a class of functionals with non-standard growth via De Giorgi's method
- Critical variable exponent functionals in image restoration
- Regularity results for stationary electro-rheological fluids
- Existence and localization of weak solutions of nonlinear parabolic equations with variable exponent of nonlinearity
- Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion
- Global existence and blowup for a quasilinear parabolic equations with nonlinear gradient absorption
- Anisotropic parabolic equations with variable nonlinearity
- Global existence of solutions for the Poisson-Nernst-Planck system with steric effects
- Global boundedness of weak solution in an attraction-repulsion chemotaxis system with \(p\)-Laplacian diffusion
- A nonlinear diffusion problem with convection and anisotropic nonstandard growth conditions
- Small perturbations of elliptic problems with variable growth
- On a class of fully nonlinear parabolic equations
- Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
- Weak solutions for p-Laplacian equation
- Monotone operator theory for unsteady problems in variable exponent spaces
- Regularity of differential forms minimizing degenerate elliptic functionals.
- Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents
- Evolution PDEs with Nonstandard Growth Conditions
- Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Nonlinear partial differential equations with applications
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