Keywords: Heat equation; Nonlocal initial condition; Finite difference scheme; Stability; Convergence; 65M06; 65M12; 35K20;
مقالات ISI (ترجمه نشده)
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Keywords: 35K20; 62F15; 62K05; 62P30; 80A20; 80A23; Heat equation; Nuisance boundary parameters marginalization; Heat flux measurements; Solid walls; Bayesian inference; Thermal resistance; Heat capacity; Experimental design;
Keywords: primary; 35K59; 35B35; secondary; 35K20; 35B50; 35B51; Quasilinear parabolic equations; Exponential rate of convergence; Maximum principle; Comparison principle; Aggregation in population dynamics; Perona-Malik model;
Keywords: Cell-centered finite difference; Domain decomposition; Hierarchical grid; Lagrange multiplier; Mixed finite element; Parabolic problem; 35K20; 65M06; 65M55; 65M60; 68W10; 76S05;
Keywords: 35K20; 35B50; Navier-Stokes equations; Partial regularity; Minkowski dimension; Singular set;
Keywords: 47D07; 47D08; 35J10; 35K20; One-parameter semigroups; Elliptic operators with unbounded coefficients; Schrödinger operator;
Keywords: 35K20; 35K55; 35R35; Free boundary problem; Nonlinear diffusion equation; Combustion; Propagation speed;
Keywords: 35R30; 35K20; 35K58; Parabolic equation; Carleman inequality; Logarithmic stability; Partial Dirichlet-to-Neumann map; Semilinear parabolic equation;
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: 35K20; 35K55; 35R35; Free boundary problem; Nonlinear diffusion equation; Monostable; Bistable; Combustion;
Keywords: porous medium systems; Dirichlet boundary conditions; global existence; blow-up; upper and lower bounds; 35K20; 35K55; 35K65; 80M35;
Keywords: 35k20; 35A01; 35D30; Navier-Stokes equations; Suitable weak solution; Localized energy estimate;
Keywords: 35B35; 35B45; 35K20; 35K59; 35K65; 35K92; Quasilinear parabolic equation; Growing nonlinearity; Moser's method;
Keywords: 65N06; 65C20; 35C05; 35K20; Stochastic differential equations; Nonlinear partial differential equations; Paris' equation; Probability distribution of hitting time; Probability-based numerical method; Generalized exponential technique;
Keywords: 92D25; 35D35; 35K20; Two interacting populations; Strong solutions; Galerkin approximation; Turing instability;
Keywords: 35B65; 47A07; 35K20; 35B45; 46B70; Non-autonomous evolution equations; Parabolic initial boundary value problems; Maximal parabolic regularity; Extrapolation of maximal parabolic regularity;
Keywords: 35B25; 35B10; 35K20; 35K58; Monotone and non-monotone boundary layers; Two independent singular perturbation parameters; Periodic-parabolic boundary value problem; Implicit function theorem;
Keywords: 35K20; 35R35; 35J60; 92B05; Diffusive logistic equation; Free boundary; Advection; Heterogeneous time-periodic environment; Spreading-vanishing dichotomy; Spreading speed;
Keywords: 35B45; 35R01; 35K20; 35K96Riemannian manifolds; Fully nonlinear parabolic equations; First initial–boundary value problem; a priori estimates
Keywords: 35K20; 65M15; 65M60; 65M55; Parabolic initial-boundary value problems; Space-time isogeometric analysis; Fixed and moving spatial computational domains; A priori discretization error estimates;
Keywords: 35K20; 35P15; 35B10Non-autonomous parabolic initial-boundary value problem; Periodic-parabolic eigenvalue problem; Limit problems for a large parameter; Spatial and temporal degeneration
Keywords: 35K20; 35K55; 35R35; 35B40Reaction–diffusion–advection equation; Free boundary problem; Long time behavior; Spreading phenomenon
Keywords: 35K20; 60H15; 60H40Anomalous diffusion; Itô's formula; Stochastic Burgers equation; Conservation laws
Keywords: 35K20; 91A15Parabolic p(x,t)p(x,t)-Laplacian; Hölder continuity; Harnack inequality; Stochastic games; Tug-of-war
Keywords: 35K60; 35K20; 35K05; 35K08Blow-up time; Heat equation; Local nonlinear; Neumann boundary condition
Keywords: 35K10; 35K20; 49L25; 53C44; 35B50; 35B05Viscous Hamilton–Jacobi equations; Generalized Dirichlet problem; Strong comparison result; Viscosity solutions; p-Laplacian
Keywords: primary; 35K20; secondary; 35B65; 35K40; 35R05; 42B25; 46E30; Generalized Morrey spaces; Parabolic operators; Cauchy-Dirichlet problem; Measurable coefficients; BMO; Gradient estimates;
Keywords: 35R35; 35K20; 76S05; 76T05Seawater intrusion; Free boundaries; Nonlinear parabolic partial differential equation; System of strongly coupled partial differential equations; Initial and boundary value problem
Keywords: 35K20; 60H15; 60H40Itô's formula; Blow-up; Stochastic parabolic partial differential equation; Finite time singularity; Impact of noise
Keywords: 35K20; 35R35; 35J60; 92B05Diffusive logistic equation; Free boundary; Periodic environment; Pulsating semi-wave; Spreading speed
Keywords: 35C07; 35K20; 35K57Nonlinear Stefan problem; Spreading speed; Logarithmic shift
Keywords: existence; singular equation; blowup35K15; 35K20
Keywords: 35K20; 35K55; 35A15; Parabolic equation; Non-cylindrical domain; Mixed boundary condition; Existence;
A note on blow-up of solution for a class of semilinear pseudo-parabolic equations
Keywords: 35B44; 35K20; Blow-up; Semilinear pseudo-parabolic equations; Critical initial energy;
Global regularity of parabolic p-Laplace equations on convex domains
Keywords: 35B65; 35K20; 35K59; Intrinsic scaling; Barrier function; Vitali covering;
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;
On Lipschitz solutions for some forward-backward parabolic equations
Keywords: 35M13; 35K20; 35D30; 49K20; Forward-backward parabolic equations; Partial differential inclusions; Convex integration; Baire's category method; Infinitely many Lipschitz solutions;
Stability and instability of stationary solutions for sublinear parabolic equations
Keywords: 35K20; 35K58; Sublinear parabolic equation; Semilinear parabolic equation; Stability; Instability; Stationary solutions; Lyapunov functional;
Numerical verification for existence of a global-in-time solution to semilinear parabolic equations
Keywords: 65G40; 65M15; 35K20; Semilinear parabolic equations; Global-in-time solution; Verified numerical computations;
Existence of Lipschitz continuous solutions to the Cauchy-Dirichlet problem for anisotropic parabolic equations
Keywords: 35K20; 35K65; 35B45; Singular parabolic equations; Degenerate parabolic equations;
BMO solvability and the Aâ condition for second order parabolic operators
Keywords: 35K10; 35K20; Parabolic boundary value problem; Aâ condition; BMO Dirichlet problem;
Instability of spiky steady states for S-K-T biological competing model with cross-diffusion
Keywords: 35B25; 35B35; 35K20; 35K55; 35K57; Cross-diffusion system; Spiky steady states; Spectral analysis;
L2 Solvability of boundary value problems for divergence form parabolic equations with complex coefficients
Keywords: 35K20; 31B10; Second order parabolic operator; Complex coefficients; Boundary value problems; Layer potentials; Kato problem;
Stability analysis of the POD reduced order method for solving the bidomain model in cardiac electrophysiology
Keywords: Bidomain equation; Reduced order method; Proper orthogonal decomposition; Stability analysis; A priori estimates; Mitchell–Schaeffer model34A12; 34A34; 35K20; 35B45; 35K57; 35K60; 35B65; 49M27
Symmetrization for fractional Neumann problems
Keywords: 35B45; 35R11; 35K20; Symmetrization; Fractional Laplacian; Neumann problems; Nonlocal elliptic and parabolic equations;
Type II blowup in a doubly parabolic Keller–Segel system in two dimensions
Keywords: 35B44; 35K20; 35K55Blowup; Keller–Segel system; Type II
Convergence in C([0,T];L2(Ω)) of weak solutions to perturbed doubly degenerate parabolic equations
Keywords: 35D30; 35K20; 35K55; 35K65; 35K92Uniform temporal convergence; Degenerate parabolic equation; Leray–Lions operator; Maximal monotone operator; Richards equation; Stefan problem
Diffusive KPP equations with free boundaries in time almost periodic environments: II. Spreading speeds and semi-wave solutions
Keywords: 35K20; 35K57; 35B15; 37L30; 92B05Diffusive KPP equation; Free boundary; Time almost periodic environment; Spreading speed; Time almost periodic semi-wave solution; Principal Lyapunov exponent
Pareto optimal control for mixed Neumann infinite-order parabolic system with state-control constraints
Keywords: 35K20; 49J20; 49K20; 93C20Pareto optimal control problems; Parabolic operators with infinite order; Neumann Problem; Dubovitskii–Milyutin theorem; Conical approximations; Optimality conditions
Solutions to a class of parabolic inhomogeneous normalized p-laplace equations
Keywords: Parabolic normalized p-Laplace equation; viscosity solution; asymptotic mean value property; comparison principle; uniqueness theorem; infinity Laplacian35C15; 35C20; 35K20; 35K92; 35Q91; 35B51; 35D40