Keywords: 35K55; 35K92; 60H15; 37L15; 45E10; 49J45Stochastic variational inequality; Nonlocal stochastic partial differential equations; Singular-degenerate SPDE; Trotter type results; Homogenization; Random Mosco convergence
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Keywords: Nonlinear boundary value problem; Parabolic equation; Weak solution; Discrete problem34K20; 35k55; 35A35; 65M20
Keywords: 35K15; 35K55; 35K65; 35B40Nonlinear heat equation; Fractional heat equation; Ill-posedness; Well-posedness
Keywords: 39B22; 35K55; 35Q20; 39ADifference-differential equation; Henkin–Polterovich's model; Layer-to-layer crystal growth model; Original-function; Growth diagram; Reconstruction problem; “Build up” method
Keywords: 53C44; 35K55; 35B35; 37L15Mean curvature flow; Stability; Dynamic boundary conditions; Line energy; Spherical caps
Keywords: 35K65; 58J35; 35K55; 35B40Porous Medium Equation; Hyperbolic space; Fundamental solutions; Asymptotic behavior
Keywords: 35K55; 35B65; 49N60Parabolic quasiminimizers; Higher integrability; Gradient estimates; Global regularity; Vector-valued problems
Keywords: 34A60; 35K55; 35K57; 35K61; 65N06; Nonlinear parabolic equations; Dynamic boundary conditions; Reaction-diffusion; Finite difference scheme; Maximal monotone operators;
Keywords: 35K55; 35K57; 35K45; 35K50; 92C15; 92C17Hyperbolic balance laws; Chemotaxis; Initial–boundary value problem; Classical solution; Global well-posedness; Long-time behavior
Keywords: 35K55; 35A01; 35D30; 35Q35; 35Q79Stefan–Maxwell equations; Navier–Stokes equations; Combustion; Multicomponent reactive flows; Cross-diffusion systems; Nonlinear diffusion laws; Method of compactness
Keywords: primary; 35B40; 35B35; secondary; 35L65; 35K55; Two-scale Young measures; Homogenization; Algebra with mean value; Stefan problem;
Keywords: 34G25; 34K13; 34K20; 34K30; 35K55; 35K57; 35K65; 47H05Differential delay evolution systems; Nonlocal delay initial condition; Periodic solutions; Metric fixed point arguments; Non-resonance condition; Nonlinear reaction–diffusion systems
Keywords: 35K41; 35K55; 35K65; 35Q35; 76A20Thin Film; Degenerated parabolic system; Non-negative global weak solutions
Keywords: 35A01; 35A02; 35E15; 35K55; 35R11Fractional Laplacian; Porous medium equation; Cauchy problem; Variable density; Smoothing effect
Keywords: 35K55; 35L65; 35Q20; 35R10; 39A; 76D; Riemann-Burgers type equations; Fluid mechanics; Quasilinear conservation law; Cauchy-Gelfand problem; Difference-differential equations; Vanishing viscosity method; Shock waves;
Keywords: 53C44; 35K55; 76T30; 65D18Mean curvature flow; Volume preservation; Multiphase; Thresholding method; Constrained variational problem
Keywords: 26A33; 35A05; 35K55; 35S10; 76S05Nonlinear fractional diffusion; Nonlocal diffusion operators; Logarithmic diffusion; Viscous transport equations
Keywords: 35K15; 35K55; 35B33Nonlinear parabolic equation; Cauchy problem; Gradient term; Global existence and nonexistence
Keywords: 92C17; 35K55; 35B40Chemotaxis; Global existence; Boundedness; Logistic source
Keywords: 35B45; 35B65; 35K55; 35K65; Nonlinear diffusion equation; Fractional Laplacian; Weighted global estimates; Existence for large data; Positivity estimates; Initial trace;
Keywords: 35C07; 35K55; 35K57; 92D25Transition front; Time heterogeneous media; Time random media
Keywords: 35K20; 35K55; 35A15; Parabolic equation; Non-cylindrical domain; Mixed boundary condition; Existence;
L2-norm blow-up of solutions to a fourth order parabolic PDE involving the Hessian
Keywords: 35J30; 35K25; 35K35; 35K55; 35G31; 35Q70; Epitaxial growth; Forth order parabolic PDE; Blow-up; Lifespan;
Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry
Keywords: primary; 58B34; secondary; 47A55; 35K55; Ricci flow; Noncommutative geometry; Matrix geometry; Spectrum of the Laplacian;
Calderón-Zygmund estimates for a class of quasilinear parabolic equations
Keywords: 35B45; 35K55; Calderón-Zygmund; Gradient; Regularity; Divergence; Parabolic; Quasilinear; p-Laplace;
Convergence in time-periodic quasilinear parabolic equations in one space dimension
Keywords: 35K55; 35K20; 35B40; 35R35; Nonlinear parabolic equation; Time-periodic solution; Initial-boundary value problem; Asymptotic behavior; Free boundary problem;
Heat flow for Dirichlet-to-Neumann operator with critical growth
Keywords: 35K55; 35B33; 35B40; Dirichlet-to-Neumann operator; Critical growth; Blowup; Global solutions; Concentration phenomenon;
Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
Keywords: 35B35; 35K55; 92C17; Two-species chemotaxis system; Global existence; Boundedness; Convergence rates;
Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
Keywords: primary; 35D30; 35B65; secondary; 35K55; 92C17; 35Q92; Chemotaxis; Global existence; Renormalized solution; Generalized solution;
Large global-in-time solutions to a nonlocal model of chemotaxis
Keywords: 35Q92; 35B44; 35K55; 35A01; Model of chemotaxis; Fractional Laplacian; Global existence of solutions; Blowup of solutions;
Strong solutions to a parabolic equation with linear growth with respect to the gradient variable
Keywords: 35K93; 35K55; 35K67; Minimal surface equation; Strong solutions; Pseudoparabolic regularization;
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
Keywords: primary; 35B40; 35K55; secondary; 35Q92; 35Q35; 92C17; Chemotaxis; Stokes; Nonlinear diffusion; Boundedness; Stabilization; Maximal Sobolev regularity;
Malliavin calculus for the stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
Keywords: 35K55; 35K40; 60H30; 60H15; Stochastic partial differential equations; Reaction-diffusion equations; Phase transitions; Malliavin calculus;
Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions
Keywords: 35K55; 35A01; Existence of solutions; Parabolic problems; Musielak-Orlicz spaces;
Construction and stability of blowup solutions for a non-variational semilinear parabolic system
Keywords: primary; 35K50; 35B40; secondary; 35K55; 35K57; Blowup solution; Blowup profile; Stability; Semilinear parabolic system;
Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps
Keywords: primary; 35K50; 35B40; secondary; 35K55; 35K57; Wave maps; Blowup solution; Blowup profile; Stability;
The Navier-slip thin-film equation for 3D fluid films: Existence and uniqueness
Keywords: 35R35; 35A09; 35K65; 35K25; 35K55; 76A20; 76D08; Free boundary; Classical solutions; Moving contact line; Fourth-order degenerate-parabolic equations; Lubrication approximation; Navier slip;
Quenching for a parabolic equation with variable coefficient modeling MEMS technology
Keywords: MEMS; Variable coefficient; Quenching; Stationary solution; 35B33; 35K50; 35K55; 35K63;
Boundedness and global solvability to a chemotaxis model with nonlinear diffusion
Keywords: 92C17; 35K40; 35K55; Chemotaxis system; Nonlinear diffusion; Logistic source; Boundedness;
Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions
Keywords: 35Q79; 35K55; 35B45; 35B40; Thermo-diffusion; Gradient estimates; Large-time behavior; Sorret and Dufour effects;
Weighted Orlicz estimates for general nonlinear parabolic equations over nonsmooth domains
Keywords: primary; 35K55; secondary; 35R05; Calderón-Zygmund type estimate; Weighted Orlicz space; Nonlinear parabolic problem; Parabolic Muckenhoupt weight;
Lorentz estimates for fully nonlinear parabolic and elliptic equations
Keywords: 35D35; 35J60; 35K55; Fully nonlinear parabolic equations; Fully nonlinear elliptic equations; Lorentz spaces; (δ,R)-vanishing nonlinearity; Large-M-inequality principle;
Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
Keywords: primary; 35B40; secondary; 35K55; 35Q30; 92C17; Chemotaxis; Navier-Stokes; Lotka-Volterra; Large-time behaviour;
Epidemic waves of a spatial SIR model in combination with random dispersal and non-local dispersal
Keywords: SIR model; Nonlocal dispersal; Traveling wave solutions; Minimal wave speed; 35K55; 35C07; 35B40; 92D30; 92B05;
A priori bounds for superlinear elliptic equations with semidefinite nonlinearity
Keywords: primary; 35B45; 35B53; 35J60; secondary; 35K55; A priori estimates; Liouville-type theorem; Nonlinear elliptic equation; Method of moving planes; Nonlinear parabolic equation;
Global gradient estimates for parabolic equations with measurable nonlinearities
Keywords: primary; 35K55; secondary; 35R05; 35B65; Calderón-Zygmund type estimate; Nonlinear parabolic equation; Measurable nonlinearity; Reifenberg flat domain;
Global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
Keywords: 35B45; 35K55; 35Q92; 92C17; Chemotaxis; Haptotaxis; Cancer invasion; Tissue remodeling; Logistic proliferation;
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with nonlinear diffusion
Keywords: 35K55; 35Q92; 35Q35; 92C17; Navier-Stokes system; Keller-Segel model; Global existence; Nonlinear diffusion;
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions
Keywords: 35K55; 35K59; 82C26; Quasi-linear Allen-Cahn equation; Dynamic boundary conditions; Non-smooth energy functional; Initial-boundary value problem; Well-posedness; Continuous dependence;
Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system
Keywords: 35K55; 35Q92; 35Q35; 92C17; Chemotaxis; Navier-Stokes; Global existence; Convergence;