Keywords: 35K65; 35K67; 35A01; 35B40; Porous medium; Fast diffusion; Singular solution; Moving singularity;
مقالات ISI (ترجمه نشده)
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Keywords: 60H15; 35K67; 37L40; 49J45; Stochastic evolution equation; Stochastic diffusion equation; p-Laplace equation; 1-Laplace equation; Total variation flow; Fast diffusion equation; Ergodic semigroup; Unique invariant measure; Variational convergence;
Stochastic partial differential equations with singular terminal condition
Keywords: 35R60; 35K67; 60H15; 60H30; Backward doubly stochastic differential equations; Stochastic partial differential equations; Monotone condition; Singular terminal data;
Keywords: 35B33; 35B40; 35K10; 35K67; 35Q79; Porous medium equation; Non-homogeneous media; Singular density; Asymptotic behavior; Radially symmetric solutions; Nonlinear diffusion;
Keywords: 35K67; 35J61; 35B40; 35B35; 35B06Fast diffusion equation; Semilinear elliptic equation; Asymptotic profile; Stability analysis; Symmetry breaking
Keywords: 35K67; 35K92; 35B40; 35D40Large time behavior; Singular diffusion; Gradient absorption; Very singular solutions; p-Laplacian; Bounded measures
On the continuity of solutions of the nonhomogeneous evolution p(x,t)-Laplace equation
Keywords: 35b65; 35K65; 35K67; Nonlinear parabolic equation; Variable nonlinearity; Lipschitz-continuity;
On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing I: Analysis
Keywords: 26B30; 35D30; 35K67; 35K92; 46E35; 46E40; Variable exponent spaces; p(t,x)-Laplacian; BV functions; Existence of solutions; Critical exponent; Image processing;
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;
Well-posedness, global existence and large time behavior for Hardy-Hénon parabolic equations
Keywords: primary; 35B40; 35B30; 35K58; 35K67; 35K57; secondary; 35B33; Hardy-Hénon parabolic equation; Well-posedness; Large time behavior;
The 1-harmonic flow with values into a smooth planar curve
Keywords: 35K67; 35K55; 35K92; 58E201-harmonic flow; Total variation flow; Singular parabolic equations; Quasilinear parabolic equations
A nonlinear parabolic equation with discontinuity in the highest order and applications
Keywords: 35D40; 35K67; 49L25; 53C44Curvature flow equations; Viscosity solutions; Discontinuous equations; Total variation flow
Singular parabolic equations of second order on manifolds with singularities
Keywords: 35K15; 35K65; 35K67; 35R01; 58J35; 53C21Elliptic operators; Singular parabolic equations; Degenerate boundary value problem; Riemannian manifolds with singularities; Sesquilinear forms; Contractive semigroups
Periodic total variation flow of non-divergence type in Rn
Keywords: 35K67; 35D40; 35K55; 35B51; 35K93; Total variation flow; Crystalline mean curvature flow; Viscosity solutions; Comparison theorems;
Corrigendum to “Convergence of invariant measures for singular stochastic diffusion equations” [Stochastic Process. Appl. 122 (2012) 1998–2017]
Keywords: 60H15; 35K67; 37L40; 49J45Stochastic evolution equation; Stochastic diffusion equation; pp-Laplace equation; 1-Laplace equation; Total variation flow; Fast diffusion equation; Ergodic semigroup; Unique invariant measure; Variational convergence; ee-proper
Cauchy problem for fast diffusion equation with localized reaction
Keywords: 35B33; 35K59; 35K67; Fast diffusion; Localized reaction; Blow-up; Global existence; Fujita exponent; Blow-up rate; Blow-up set;
Parabolic equations with nonlinear singularities
Keywords: 35K55; 35K67; 35B40Nonlinear parabolic equations; Singular parabolic equations; Asymptotic behavior
Existence, uniqueness and behavior of solutions for a class of nonlinear parabolic problems
Keywords: 35k55; 35k67; 35k65Nonlinear parabolic equations; Existence; Decay estimates; Extinction time; Uniqueness