Keywords: Fast diffusion equation; Strong absorption; Dead-core rate; 35K55; 35K65; 35B40;
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Keywords: 35K55; 35A01; 35Q92; 92C17; Keller-Segel system; Nonlinear diffusion; Singular sensitivity; Global generalized solutions;
Keywords: Vegetation patterns; Internal competition; Migration speed; Wavelength; 35J57; 35K55; 92C15; 92C40;
Keywords: 92C17; 35K10; 35K55; Chemotaxis-Stokes system; Global weak solution; Uniform boundedness; Stability;
Keywords: 35K55; 35B40; Asymptotic behavior; Porous medium equation; Unbounded function; Propagation estimates; Growth estimates; Weighted L1-Lâ estimates;
Keywords: primary; 35K55; secondary; 35B44; 35B53; Blowup; Potential; Liouville-type theorem;
Keywords: 35B53; 35B65; 35J60; 35K55; 35K65; p-Laplacian type operators; Dead-core problems; Sharp and improved intrinsic regularity; Liouville type results;
Keywords: 35K20; 35K55; 35R35; Free boundary problem; Nonlinear diffusion equation; Combustion; Propagation speed;
Keywords: 35K55; 35B35; 35L70; Hyperbolic-parabolic equation; Stability; Partial boundary condition; Well-posedness; Entropy solution;
Keywords: primary; 35K55; secondary; 35A01; 46E30; Nonlinear heat equation; Scale invariance; Singular initial data; Existence and nonexistence;
Keywords: 76D03; 76A05; 74F10; 35R37; 46B50; 35K55; Non-cylindrical domain; Existence of weak solutions; Nonlinear parabolic problem; Compactness;
Keywords: 35D40; 35K55; 35K20; 35P30; Loss of boundary conditions; Viscosity solutions; Gradient blow-up; Fully nonlinear parabolic equations; Viscous Hamilton-Jacobi equations; Nonlinear eigenvalues;
Keywords: 35K55; 35K61; 35R05; Nonlinear parabolic equations; Unbounded data; Repulsive gradient;
Keywords: 35K20; 35K55; 35R35; Free boundary problem; Nonlinear diffusion equation; Monostable; Bistable; Combustion;
Keywords: 35B15; 35K55; 45C05; 45G15; 47G20; 92D25; Cooperative system; Time recurrence; Principal Lyapunov exponent; Principal Floquent bundle; Spreading speed; Linear determinacy;
Keywords: primary; 35K50; 35B40; secondary; 35K55; 35K57; Blowup solution; Blowup profile; Stability; Semilinear parabolic system;
Hölder continuity for stochastic fractional heat equation with colored noise
Keywords: 35K55; 35K08; Stochastic fractional heat equation; Fractional heat kernel; Colored noise; Hölder continuity;
Keywords: porous medium systems; Dirichlet boundary conditions; global existence; blow-up; upper and lower bounds; 35K20; 35K55; 35K65; 80M35;
Keywords: 65Q10; 65M06; 65Q30; 35K55; Burgers-Fisher equation; Existence and uniqueness; Convergence analysis; Exact method; Positivity and boundedness; Nonlinear finite-difference scheme;
Keywords: Structural stability; Thermal convection model; Boussinesq coefficient; Continuous dependence; 35B30; 35K55; 35Q35;
Keywords: 35k55; 35k65; 35k92; Asymptotic behavior; Stability estimates; Nonlinear parabolic equations;
Keywords: primary; 35B65; secondary; 35B40; 35K55; 92C17; Chemotaxis; Global existence; Boundedness;
Keywords: primary; 53C21; 58J35; secondary; 35B53; 35K55; Gradient estimate; Liouville theorem; Smooth metric measure space; Bakry-Ãmery Ricci tensor; Log-Sobolev inequality;
Keywords: 35J60; 35R35; 35B32; 92C37; 35K55; Free boundary; Bifurcation; Existence and uniqueness;
Keywords: 35K55; 35K57; 35R35; 80A22; Free boundary problem; Singular limit problem; Fast reaction limit; Reaction-diffusion system;
Keywords: primary; 78M40; 35K55; secondary; 65N08; 78A25; 86-08; Numerical homogenization; Maxwell's equations; Simulation; Electrical conductivity; Finite volume; Geophysical electromagnetic methods;
Keywords: 35B35; 35B40; 35K55; 92C17; Chemotaxis; Quasilinear parabolic; Global boundedness; Signal-dependent sensitivity;
Keywords: 35A01; 35A02; 35B40; 35K55; 35K65; Nonlinear nonlocal diffusion; Perona-Malik equation; Noise reduction; Discontinuous initial data; Well-posedness; Stability;
Keywords: 35B40; 35K55; 35Q92; 35R35; Free boundary problem; Tumor spheroid; Asymptotic stability; Well-posedness; Gibbs-Thomson relation;
Keywords: 35K55; 35Q84; 37B55; 37D35; Constrained gradient flow; Entropy method; Energy-dissipation relation; Fokker-Planck equation;
Keywords: 35B40; 35K15; 35K55; 35Q35; 76A05; Navier-Stokes equations; Poisson-Nernst-Planck equations; Electro-hydrodynamics; Well-posedness; Decay; Besov space;
Keywords: primary; 35J60; 35K55; secondary; 35D40; 35B65; 35B45; 35B51; 35B40; 35B05; Nonlinear strictly elliptic equations; Nonlinear parabolic equations; Hamilton-Jacobi equations; Lipschitz estimates; Asymptotic behavior; Viscosity solutions;
Keywords: 35K55; 35A01; 35K65; 92C17; Keller-Segel; Chemotaxis; Nonlinear diffusion; Global existence; Boundedness;
Keywords: 35K55; 35B25; 76D27; 92C50; Hele-Shaw equation; Free boundary problems; Porous medium equation; Tumor growth;
Keywords: 35B41; 35K51; 35K55; 35Q30; 35Q35; 35Q86; 76D09; 76F05; 76F25; Boussinesq equations; Global attractor; Semi-dissipative system; Navier-Stokes equations; Turbulence;
Keywords: 35K40; 35K55; 35K65; 35B09; 35B35; 35B40; Landau; Multi-species; Hypocoercivity; Maxwellian; Entropy; Exponential decay;
Keywords: 93C20; 35K55; 35K10; 35K57; 35K58; Semilinear parabolic equations; Reaction-diffusion equations; Bilinear controls; Approximate controllability;
Keywords: 35C07; 35K55; 35K57; 92D25; Transition front; Regularity; Stability;
Keywords: 35K15; 35K55; 35K65; Nonlinear convection; Source-type solution; Very singular solution; Critical exponent; Asymptotic behaviors; Entropy inequality;
Keywords: primary; 35K58; 35K55; secondary; 35B40; 35B44; Finite-time blowup; Blowup profile; Stability; Semilinear heat equations;
Keywords: 35B40; 35K55; 35K65; 58J35; Porous medium equation; Flows on manifolds; Asymptotic behaviour; Finite propagation;
Keywords: 34B15; 34A34; 35K55; 74H35; Self-similar solution; Slow orbit; Pohozaev's type identity; Backward solution;
Keywords: Vegetation pattern formation; Functional diversity; Desertification; Ecosystem engineers; Homoclinic snaking; Spatial resonances; 05.65.+b; 87.23.Cc; 89.75.âk; 35K55; 35K57; 45K05; 92B05;
Keywords: 35J25; 35J70; 35K15; 35K55; 35K65Parabolic equations; Unbounded coefficients; Conditions at infinity
Keywords: Integro-difference equations; Spreading speeds; Periodic traveling waves; 35K55; 5K57; 92D25,;
Keywords: 35K55; 35B25; 35D40; 76D27Viscosity solutions; Free boundary; Tumor growth
Keywords: 35K20; 35K55; 35R35; 35B40Reaction–diffusion–advection equation; Free boundary problem; Long time behavior; Spreading phenomenon
Keywords: 35K55; 35B65; 53A05; 58G11; Entropy; Gauss Curvature; Monotonicity; Regularity Estimates; Curvature Image; Entropy Stability Estimates;
Keywords: 35K55; 35K65Drift–diffusion equation; Nonlocal diffusion; Global existence
Keywords: 35K65; 35J60; 53C44; 35K55; 35L60; 35L81Geometric flow; Implicit discretization; Nonlinear parabolic and elliptic equations