Keywords: 34C37; 35R11; 47G20; Fractional elliptic equation; Variable-order fractional Laplacian; Variational methods;
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Keywords: 45E10; 45E05; 47G20; 30E25; Singular integro-different equations; Riemann-Hilbert problem; Cauchy kernels; Convolution kernel;
Keywords: 35Q92; 47D06; 45K05; 47G20; 60G51; Growth-fragmentation equation; Spectral analysis; Malthus exponent; Feynman-Kac formula;
Keywords: 35B15; 35K55; 45C05; 45G15; 47G20; 92D25; Cooperative system; Time recurrence; Principal Lyapunov exponent; Principal Floquent bundle; Spreading speed; Linear determinacy;
Keywords: 35J20; 35J60; 47G20; Fractional p-Laplacian problems; Critical exponents; Sobolev-Hardy inequality;
Keywords: 34A55; 34L05; 34K29; 34K10; 47G20; Dirac operator; Integral-differential operators; Inverse nodal problem; Uniqueness theorem; Spectral problems;
Keywords: 35B40; 35B33; 45K05; 47G20; Blow up solution; Global solution; Fujita exponent; Nonlocal diffusion; Dispersal tails; Hair trigger effect;
Keywords: 35A15; 49J35; 47G20; Sublinear indefinite elliptic equation; Broken symmetry; Infinitely many solutions; Nonlocal operator; Rabinowitz's perturbation method;
Keywords: 47G20; 45K05; 35J60; 35B65; 35D10 (60J75); The Evans-Krylov theorem; Nonlocal parabolic fully nonlinear equations; Viscosity solutions;
Keywords: 35R11; 47G20; 60G52; 42C15; 47D07; 58C40; Fractional operators; Continuous frames; Non-self-adjoint integro-differential operators; Markov semigroups; Reflected stable processes; Spectral theory;
Keywords: 16W60; 16W80; 12H05; 65L10; 47G20; 13J10;
Keywords: 35R09; 45K05; 35J60; 35J62; 35J70; 35K59; 47G20; 35D40; 35A01; 35B51; 35B40; Nonlocal quasilinear equations; Infinity-Laplace; p-Laplace; Viscosity solutions; Well-posedness; Local limits;
Keywords: primary; 35R11; secondary; 45K05; 35C15; 47G20; Nonlocal diffusion; Riemann-Liouville derivative; Fractional Laplacian; Decay of solutions; Energy inequality; Fundamental solution;
Keywords: primary; 35K05; 60J35; 47G20; secondary; 47D07; Heat kernel; Transition density; Non-local operator; Kato class; Lévy system; Gradient estimate;
Keywords: 35R09; 35D40; 35J60; 47G20; 45K05; 93E20Viscosity solution; Integro-PDE; Hamilton–Jacobi–Bellman equation; Dini continuity
Keywords: primary; 60D05; secondary; 58C35; 60J75; 37A30; 47G20; 53C21; 60J65; Stochastic algorithms; Simulated annealing; Homogenization; Probability measures on compact Riemannian manifolds; Intrinsic means; Instantaneous invariant measures; Gibbs measures; Spect
Born-Jordan pseudodifferential operators and the Dirac correspondence: Beyond the Groenewold-van Hove theorem
Keywords: 35S05; 46L65; 47G20; Pseudodifferential operators; Dirac correspondence; Poisson brackets; Commutators;
Distribution dependent SDEs for Landau type equations
Keywords: 60J75; 47G20; 60G52; Distribution dependent SDEs; Homogeneous Landau equation; Wasserstein distance; Exponential convergence; Harnack inequality;
Delaunay hypersurfaces with constant nonlocal mean curvature
Keywords: 47G20; 35J60; 35B10; Constant nonlocal mean curvature; Delaunay periodic cylinders;
Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators
Keywords: primary; 35J47; 35B08; 35B09; 35R11; secondary; 35Q55; 35B33; 47G20; Schrödinger-Hardy systems; Existence of entire solutions; Fractional p-Laplacian operator;
Fractional Schrödinger-Poisson-Kirchhoff type systems involving critical nonlinearities
Keywords: 35R11; 35A15; 47G20; Fractional Schrödinger-Poisson-Kirchhoff system; Variational methods; Critical nonlinearity;
Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: A unified approach via fractional De Giorgi classes
Keywords: 49N60; 47G20; 35R11; 35D10; 35B65; Nonlocal energies; Nonlinear integral operators; Fractional De Giorgi classes; Hölder continuity; Harnack inequality; Improved Caccioppoli inequality;
System of linear second order Volterra integro-differential equations using Single Term Walsh Series technique
Keywords: Volterra equations; Second order integro-differential equations of second kind; Single Term Walsh Series (STWS); Numerical methods34K28; 47G20; 45J05
On one approach to solve the linear boundary value problems for Fredholm integro-differential equations
Keywords: 45J05; 45L05; 47G20; 65Q99Fredholm integro-differential equation; Parameterization method; Algorithm; Well-posedness
Cordes–Nirenberg type estimates for nonlocal parabolic equations
Keywords: 47G20; 45K05; 35J60; 35B65; 35D10; 60J75Nonlocal parabolic equations; Cordes–Nirenberg type estimates; Integro-differential operators
Traveling wave solutions of Lotka–Volterra competition systems with nonlocal dispersal in periodic habitats
Keywords: 35B40; 35C07; 45G15; 45M20; 47G20; 92D25Nonlocal dispersal; Lotka–Volterra competition system; Space periodic habitats; Traveling wave solutions; Existence; Asymptotic stability
On shift Harnack inequalities for subordinate semigroups and moment estimates for Lévy processes
Keywords: 60J75; 47G20; 60G51Shift Harnack inequality; Subordination; Subordinate semigroup; Lévy process
Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in C1,η open sets
Keywords: primary; 60J35; 47G20; 60J75; secondary; 47D07; Dirichlet form; Jump process; Jumping kernel; Markov process; Heat kernel; Dirichlet heat kernel; Transition density; Lévy system;
Tridiagonal implicit method to evaluate European and American options under infinite activity Lévy models
Keywords: 91G60; 65M06; 47G20; 91B25Option pricing; Partial integro–differential equation; Linear complementarity problem; Finite difference method; Infinite activity model
A priori bounds for degenerate and singular evolutionary partial integro-differential equations
Keywords: 45K05; 47G20; 35K92Integro-differential equation; Quasilinear equation; pp-Laplacian; Fractional derivative; Degenerate parabolic equation; Weak solution; Energy estimates; De Giorgi technique
Existence and unicity of solutions for a non-local relaxation equation
Keywords: 35K65; 47G20; 45K05Relaxation equation; Integro-differential equation; Existence and uniqueness
Large deviations estimates for some non-local equations
Keywords: 47G20; 60F10; 35A35; 49L25; Non-local diffusion; Large deviations; Hamilton-Jacobi equation; Lévy operators;
Existence of a solution to Hartree–Fock equations with decreasing magnetic fields
Keywords: 35Q20; 81G45; 81V45; 35Q40; 47G20; 81Q10Magnetic Hartree–Fock equations; Ground state; Variational method; Spectral bound
An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control
Keywords: 35J60; 47G20; 60J75; 93E20; Bellman equation; Fully nonlinear equation; Integro-differential operator; Markov jump process; Stochastic control;