Keywords: primary; 35A02; secondary; 35K65; 35Q92; Keller-Segel equation; Porous media; Uniqueness; Duality argument; Vanishing viscosity; Green matrix of parabolic equation;
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Keywords: primary; 35R01; secondary; 35K65; 58J35; 35A01; 35A02; 35B44; Porous medium equation; Cartan-Hadamard manifolds; Large data; A priori estimates; Nonexistence; Blow-up;
Keywords: 35A02; 35B32; 35J61; Semilinear elliptic equation; Singular extremal solution; Joseph-Lundgren exponent; Uniqueness; Bifurcation diagram; Generalized eigenvalue;
Keywords: elliptic equations; renormalized solution; uniqueness; Robin; boundary conditions; L1 data; 35J66; 35A01; 35A02; 35R05;
Keywords: 35A01; 35A02; 35B40; 35K55; 35K65; Nonlinear nonlocal diffusion; Perona-Malik equation; Noise reduction; Discontinuous initial data; Well-posedness; Stability;
Keywords: 35A01; 35A02; 35K99; Fractional heat equation; Existence and uniqueness theory; Optimal data; Pointwise estimates; Harnack inequalities;
Keywords: Bipolar quantum hydrodynamic; diffusion waves; semiconductor; Euler-Poisson euqations; asymptotic behavior; 35A01; 35A02; 39A14;
Keywords: 35M13; 35B40; 35A01; 35A02; Nonlinear Klein-Gordon equation; Neumann problem; Initial-boundary value problem; Scattering-critical;
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: 35A01; 35A02; 49K40; 76D03Magneto-micropolar fluid; Well-posedness; 212 dimensions
Keywords: 35Q30; 35A01; 35A02; 76D03; 76D05; 42B35Navier–Stokes; Bilinear estimates; Uniqueness; Morrey spaces
Keywords: 35A01; 35A02; 35A09; 35B09; 35B33; 35B40; 35B51; 35K70Sublinear pseudoparabolic equation; Non-autonomous and unbounded source; Comparison principle; Global well-posedness; Grow-up rate; Critical exponent
Keywords: 35A02; 35K05; 35R45Carleman inequality; Backward uniqueness; Cone domain; Parabolic operator
Keywords: 35A01; 35A02; 35E15; 35K55; 35R11Fractional Laplacian; Porous medium equation; Cauchy problem; Variable density; Smoothing effect
Keywords: 35A01; 35A02; 35B09; 35B51; 35D30; 35J60; 35J75; Nonlinear elliptic equations; Natural growth condition; The sub-super-solution method; Singular gradient terms;
Quantitative uniqueness of solutions to parabolic equations
Keywords: 35K10; 58J35; 35A02; Carleman estimates; Unique continuation; Parabolic equations; Vanishing order;
Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
Keywords: 35Q35; 35A01; 35A02; 76W05; The non-resistive MHD equations; Local existence and uniqueness; Iterative scheme; Compactness arguments;
Uniqueness for elliptic problems with locally Lipschitz continuous dependence on the solution
Keywords: 35J60; 35R05; 35A02; Uniqueness result; Elliptic equations; Renormalized solution; Integrable data;
A class of Hamilton–Jacobi equations with constraint: Uniqueness and constructive approach
Keywords: 35A02; 35F21; 35Q92Hamilton–Jacobi equation with constraint; Uniqueness; Constructive existence result; Selection–mutation models
Stationary solutions for the ellipsoidal BGK model in a slab
Keywords: 35Q20; 82C40; 35A01; 35A02; 35F30Ellipsoidal BGK model; Boltzmann equation; Kinetic theory of gases; Boundary value problem in a slab; Inflow boundary conditions
Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with H1-supercritical exponent
Keywords: 35J62; 35A02; 35B40Quasilinear elliptic equation; Asymptotic uniqueness; Zero mass case
The Landis-Oleinik conjecture in the exterior domain
Keywords: 35K10; 35A02; 35R45; Carleman estimates; Unique continuation; Backward uniqueness; Landis and Oleinik; Parabolic equation;
Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model
Keywords: primary; 35J47; 35J60; secondary; 35A02; Maxwell-Chern-Simons model; Multivortex solutions; Flux for non-topological solutions; Classification of solutions;
Weak solutions for an initial–boundary Q-tensor problem related to liquid crystals
Keywords: 35A01; 35A02; 35B50; 35D30; 35K51; 35Q35; 76A15; 76D03; 76D05Navier–Stokes equations; Weak solution; Uniqueness; Maximum principle; Symmetry; Traceless
Solutions of fourth-order parabolic equation modeling thin film growth
Keywords: 35A01; 35A02; 35A35; 35K55Thin-film equation; Scaling invariance; Lp–LqLp–Lq estimates; Kato's method; Mild solution; Large time behavior
On the persistence and unique continuation properties for an integrable two-component Dullin–Gottwald–Holm system
Keywords: 35A02; 35G40; 35Q35Camassa–Holm equation; Two-component Camassa–Holm system; Two-component Dullin–Gottwald–Holm system; Persistence property; Unique continuation property
On multiple solutions of a semilinear Schrödinger equation with periodic potential
Keywords: 35A02; 35J50; 35J60Nonlinear Schrödinger equation; Kryszewski–Szulkin degree; Variant fountain theorem; Strongly indefinite functionals
LpLp-solutions of Fokker–Planck equations
Keywords: 35A01; 35A02; 60H15; 60H30Transport equation; LpLp-solution; Existence; Uniqueness; Fokker–Planck equation
A generalized Pohožaev identity and uniqueness of positive radial solutions of Δu+g(r)u+h(r)up=0Δu+g(r)u+h(r)up=0
Keywords: 35A02; 34B18; 35B09; 35J15Uniqueness; Positive radial solutions; Pohožaev identities; Brezis–Nirenberg problem; Haraux–Weissler equation; Nonlinear Schrödinger equation with harmonic potential