Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements
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Publication:2082574
DOI10.1007/s00028-022-00834-2zbMath1498.35010arXiv2201.00634OpenAlexW4294012471MaRDI QIDQ2082574
Vivek Tewary, Suchandan Ghosh, Harsh Prasad, Dharmendra Kumar
Publication date: 4 October 2022
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.00634
parabolic equationsparabolic minimizersevolutionary variational solutionsnonlocal operators with nonstandard growth
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
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- Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
- Local behavior of fractional \(p\)-minimizers
- Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
- Parabolic equations with \(p,q\)-growth
- Parabolic systems with \({p,q}\)-growth: a variational approach
- Hitchhiker's guide to the fractional Sobolev spaces
- The fractional Cheeger problem
- A fractional Gehring lemma, with applications to nonlocal equations
- Optimal existence and uniqueness theory for the fractional heat equation
- Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
- A fractional porous medium equation
- Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation
- Existence and uniqueness of a regular solution of the Cauchy-Dirichlet problem for a class of doubly nonlinear parabolic equations
- Regularity for elliptic equations with general growth conditions
- Nonlinear porous medium flow with fractional potential pressure
- Doubly nonlinear equations of porous medium type
- Convergence of nonlocal threshold dynamics approximations to front propagation
- Fractional nonlinear degenerate diffusion equations on bounded domains. I: Existence, uniqueness and upper bounds.
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Functional analysis, Sobolev spaces and partial differential equations
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Quasilinear elliptic-parabolic differential equations
- Pseudo solutions of the time-dependent minimal surface problem
- Existence of variational solutions for time dependent integrands via minimizing movements
- Existence for evolutionary problems with linear growth by stability methods
- Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian
- Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian
- Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
- Global existence and blow-up of weak solutions for a class of fractional \(p\)-Laplacian evolution equations
- 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
- Continuity of solutions to a nonlinear fractional diffusion equation
- Self-improving inequalities for bounded weak solutions to nonlocal double phase equations
- Regularity estimates for fractional orthotropic \(p\)-Laplacians of mixed order
- Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal \(p\)-Laplace equation
- Borderline Lipschitz regularity for bounded minimizers of functionals with \((p,q)\)-growth
- Regularity under general and \(p,q\)-growth conditions
- Regularity of solutions to anisotropic nonlocal equations
- Higher Hölder regularity for nonlocal equations with irregular kernel
- Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations
- Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
- Existence for singular doubly nonlinear systems of porous medium type with time dependent boundary values
- \( H^{s, p}\) regularity theory for a class of nonlocal elliptic equations
- Regularity for solutions of nonlocal parabolic equations. II
- A class of integral equations and approximation of \(p\)-Laplace equations
- Existence of evolutionary variational solutions via the calculus of variations
- Regularity for some scalar variational problems under general growth conditions
- Regularity for solutions of non local parabolic equations
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- A qualitative study of \((p, q)\) singular parabolic equations: local existence, Sobolev regularity and asymptotic behavior
- Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
- Doubly Nonlinear Equations as Convex Minimization
- Regularity theory for parabolic nonlinear integral operators
- THE DE GIORGI CONJECTURE ON ELLIPTIC REGULARIZATION
- Existence of Variational Solutions in Noncylindrical Domains
- Jump Processes and Nonlocal Operators
- Financial Modelling with Jump Processes
- Stochastic PDEs via convex minimization
- Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains
- Local Continuity of Weak Solutions to the Stefan Problem Involving the Singular $p$-Laplacian
- Doubly nonlinear stochastic evolution equations
- Nonlocal operators with singular anisotropic kernels
- A Time Dependent Variational Approach to Image Restoration
- Calculus of variations