Keywords: 35K65; 35K67; 35A01; 35B40; Porous medium; Fast diffusion; Singular solution; Moving singularity;
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Keywords: Fast diffusion equation; Strong absorption; Dead-core rate; 35K55; 35K65; 35B40;
Keywords: 35K65; 35K51; 86A05; Salt fingers; Water waves; Oceanography; Degenerate parabolic equations; Neumann boundary conditions; Existence; Weak solutions;
Keywords: primary; 35B40; secondary; 35K65; 92C17; Chemotaxis; Singular sensitivity; Large time behavior;
Keywords: 35C07; 35K40; 35K65; 35Q35; 76A20; Travelling wave; Non-Newtonian fluid; Dilatant fluid; Thin film; Surfactant;
Keywords: 35B53; 35B65; 35J60; 35K55; 35K65; p-Laplacian type operators; Dead-core problems; Sharp and improved intrinsic regularity; Liouville type results;
Keywords: primary; 35A02; secondary; 35K65; 35Q92; Keller-Segel equation; Porous media; Uniqueness; Duality argument; Vanishing viscosity; Green matrix of parabolic equation;
Keywords: 35K65; 35K70; 35Q35; 76S05; Dynamic capillary pressure; Degenerate nonlinear parabolic PDE; Pseudoparabolic equations; Entropy; Existence of solutions;
Keywords: primary; 35R01; secondary; 35K65; 58J35; 35A01; 35A02; 35B44; Porous medium equation; Cartan-Hadamard manifolds; Large data; A priori estimates; Nonexistence; Blow-up;
Keywords: primary; 35Q30; 35D35; secondary; 35B44; 35K65; Navier-Stokes-Boltzmann equations; Regular solutions; Strong solutions; Vacuum; Degenerate viscosity; Blow-up criterion;
Keywords: primary; 60H10; 60G46; secondary; 60H30; 35K65; Degenerate SDEs; Martingale problem; Calderón-Zygmund estimates;
Keywords: 60G15; 39B62; 52A40; 35K65; 35B50; Ehrhard-Borell inequality; Equality cases; Gaussian measures; Gaussian Brunn-Minkowski inequalities; Degenerate parabolic equations;
Keywords: 35K65; 93B05; 93B07; 34B25; Degenerate parabolic equations; Carleman estimates; Null controllability; Observability; Lipschitz stability; Heisenberg operator;
Keywords: porous medium systems; Dirichlet boundary conditions; global existence; blow-up; upper and lower bounds; 35K20; 35K55; 35K65; 80M35;
Keywords: exceptional Hermite polynomials; system of minimal energy; energy function; partitioned matrices; 60H10; 60H30; 35K65;
Keywords: Approximate controllability; Degenerate equation; Boundary control; Convection term; 93B05; 93C20; 35K65;
Keywords: 35B35; 35B45; 35K20; 35K59; 35K65; 35K92; Quasilinear parabolic equation; Growing nonlinearity; Moser's method;
Keywords: 35k55; 35k65; 35k92; Asymptotic behavior; Stability estimates; Nonlinear parabolic equations;
Keywords: 35K65; 35K15; Degenerate parabolic equation; Instant smoothing property;
Keywords: 35A01; 35A02; 35B40; 35K55; 35K65; Nonlinear nonlocal diffusion; Perona-Malik equation; Noise reduction; Discontinuous initial data; Well-posedness; Stability;
Keywords: 35K65; 35K40; Wavefronts; Nonlocal; Bistable; Reaction-diffusion equation;
Keywords: 35B65; 35M10; 35B50; 35B45; 35J62; 35K65; 35J70; Parabolic equations; Elliptic equations; Elliptic-parabolic equations; Forward-backward parabolic equations; Mixed type equations; Weighted Sobolev spaces; Local boundedness;
Keywords: 35K55; 35A01; 35K65; 92C17; Keller-Segel; Chemotaxis; Nonlinear diffusion; Global existence; Boundedness;
Keywords: 35K40; 35K55; 35K65; 35B09; 35B35; 35B40; Landau; Multi-species; Hypocoercivity; Maxwellian; Entropy; Exponential decay;
Keywords: primary; 35B40; secondary; 35K65; 92C17; Chemotaxis; Prey taxis; Stabilization; Eventual regularity;
Keywords: primary; 35K50; 35J55; secondary; 35K65; 35K57; Quasilinear reaction diffusion systems; Upper and lower solutions; Weak and classical solutions; Asymptotic behavior; Lotka-Volterra models;
Keywords: 35K65; 35B33; 47J30; 35K40; Keller-Segel; Chemotaxis; Degenerate diffusion; Wasserstein distance; Gradient flows;
Keywords: 35K15; 35K55; 35K65; Nonlinear convection; Source-type solution; Very singular solution; Critical exponent; Asymptotic behaviors; Entropy inequality;
Keywords: 35B40; 35K55; 35K65; 58J35; Porous medium equation; Flows on manifolds; Asymptotic behaviour; Finite propagation;
Keywords: 35A02; 35B30; 35B35; 35B53; 35D30; 35J15; 35K59; 35K65; 35L65; 35R09; 35R11; Uniqueness; Distributional solutions; Nonlinear degenerate diffusion; Porous medium equation; Stefan problem; Fractional Laplacian; Nonlocal operators; Existence; Stability; Loca
Keywords: 35K65; 92C17; 35A02Keller–Segel model; Degenerate diffusion; Nonlocal aggregation; Uniqueness of weak solutions; Optimal transportation; Wasserstein distance
Keywords: 76A20; 37N10; 35K25; 35K65; 34B16Thin film equation; Self-similar solution; Contact line; Center manifolds; Resonances; Boundary-value problem
Keywords: 35K65; 35J60; 53C44; 35K55; 35L60; 35L81Geometric flow; Implicit discretization; Nonlinear parabolic and elliptic equations
Keywords: 35R01; 35R37; 35K65; 35R11Porous medium equation; Fractional Laplacian; Evolving hypersurface
Keywords: 26A33; 35K65; 76S05Nonlinear fractional diffusion; Fractional Laplacian; Riesz potential; Existence of solutions; Finite/infinite speed of propagation
Keywords: 35K65; 35K70; 35H20; 35R03Kolmogorov equation; Kolmogorov–Fokker–Planck equation; Ultraparabolic; Hypoelliptic; Boundary estimate
Keywords: 35K65; 93B05; 93B07Degenerate equation; Singular equation; Interior degeneracy; Interior singularity; Carleman estimates; Observability inequalities
Keywords: 35B65; 35M10; 35B50; 35B45; 35J62; 35K65; 35J70Elliptic–parabolic equations; Forward–backward parabolic equations; Mixed type equations; Weighted Sobolev spaces; Harnack's inequality; Hölder-continuity
Keywords: 26A33; 35K65; 76S05; 35C06Nonlinear fractional diffusion; Fractional derivatives; Self similar solution; Very singular solutions
Keywords: 35B50; 35D40; 35K65; 36S05; 74G45; 86A05; Maximum principle; Degenerate parabolic equation; Flows in porous medium; Hydrology;
Keywords: 35K65; 35A09; 35G20; 35K25Thin film equation; The Cauchy problem; Finite interfaces; Oscillatory sign-changing behaviour; Analytic εε-regularization; Uniqueness
Keywords: 35K65; 35F05Continuity equation; Cauchy problem; Uniqueness
Keywords: 35K15; 35K55; 35K65; 35B40Nonlinear heat equation; Fractional heat equation; Ill-posedness; Well-posedness
Keywords: 35K65; 58J35; 35K55; 35B40Porous Medium Equation; Hyperbolic space; Fundamental solutions; Asymptotic behavior
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: 93B05; 35K58; 35K65; 35K61; 35K45Approximate controllability; Bilinear control; Semilinear equations; Degenerate parabolic equations; Weighted Sobolev spaces
Keywords: 35B45; 35B65; 35K55; 35K65; Nonlinear diffusion equation; Fractional Laplacian; Weighted global estimates; Existence for large data; Positivity estimates; Initial trace;
Keywords: 35Q30; 35K65; 76N10Full compressible Navier–Stokes equations; Vacuum; Global classical and strong solutions; Large initial data
Keywords: porous medium equation; blow-up; positive initial energy35K55; 35K65