Found 1,205 Documents (Results 1–100)
Solvability of some integro-differential equations with transport and concentrated sources. (English) Zbl 07920466
A problem with nonlocal integral 1st kind conditions for 4th order partial differential equation. (Russian. English summary) Zbl 07918484
The logarithmic Sobolev inequality on the Heisenberg group and applications to the uncertainty inequality and heat equation. (English) Zbl 07917626
Backward doubly stochastic differential equations and SPDEs with quadratic growth. (English) Zbl 07904808
The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations. (English) Zbl 07901582
Numerical Hilbert space solution of fractional Sobolev equation in \((1+1)\)-dimensional space. (English) Zbl 07886707
Logarithmic Sobolev inequalities, Gaussian upper bounds for the heat kernel, and the \(\mathrm{G}_2\)-Laplacian flow. (English) Zbl 07880959
Stability of solutions to the stochastic Oskolkov equation and stabilization. (English) Zbl 1543.35301
Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation. (English) Zbl 1543.35214
On the existence of strong solutions of higher order quasilinear parabolic equations. (English) Zbl 07877772
Richardson extrapolation method for solving the Riesz space fractional diffusion problem. (English) Zbl 07866641
Solvability of some quadratic integral equations. (English) Zbl 1542.45005
Reviewer: Bhuban Deuri (Doimukh)
Final value problem governed by a class of time-space fractional pseudo-parabolic equations with weak nonlinearities. (English) Zbl 07861295
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique. (English) Zbl 07859304
Matching upper and lower moment bounds for a large class of stochastic PDEs driven by general space-time Gaussian noises. (English) Zbl 1540.60145
Some new results on the convergence of solutions for time and space fractional Sobolev equation. (English) Zbl 1541.35547
An efficient fourth order Hermite spline collocation method for time fractional diffusion equation describing anomalous diffusion in two space variables. (English) Zbl 07855902
Numerical analysis of a space-time continuous Galerkin method for the nonlinear Sobolev equation. (English) Zbl 07852435
Chaotic behavior and generation theorems of conformable time and space partial differential equations in specific Lebesgue spaces. (English) Zbl 07848751
Functional inequalities on symmetric spaces of noncompact type and applications. (English) Zbl 07845662
Reviewer: Takeshi Kawazoe (Yokohama)
Construction of infinitely many solutions for fractional Schrödinger equation with double potentials. (English) Zbl 07845575
On nonlinear Sobolev equation with the Caputo fractional operator and exponential nonlinearity. (English) Zbl 1537.35362
On a Schrödinger-Kirchhoff type equation involving the fractional \(p\)-Laplacian without the Ambrosetti-Rabinowitz condition. (English) Zbl 1537.35366
Unitary representation of walks along random vector fields and the Kolmogorov-Fokker-Planck equation in a Hilbert space. (English. Russian original) Zbl 1536.37070
Theor. Math. Phys. 218, No. 2, 205-221 (2024); translation from Teor. Mat. Fiz. 218, No. 2, 238-257 (2024).
Note on the \(q\)-logarithmic Sobolev and \(p\)-Talagrand inequalities on Carnot groups. (English) Zbl 07821476
Reviewer: Jorge Vargas (Córdoba)
An application of Sobolev’s inequality to one-dimensional Kirchhoff equations. (English) Zbl 1541.34044
Reviewer: Haiyan Wang (Phoenix)
Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation. (English) Zbl 1531.65197
The existence theory of solution in Sobolev space for fractional differential equations. (English) Zbl 1531.34018
Reviewer: Sotiris K. Ntouyas (Ioannina)
A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers’) equations. (English) Zbl 07763847
Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs. (English) Zbl 1528.35162
Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces. (English) Zbl 1528.35208
A monotone numerical flux for quasilinear convection diffusion equation. (English) Zbl 1525.65084
Reviewer: Abdallah Bradji (Annaba)
Pseudo-differential equations in spaces of different smoothness exponents on variables. (English) Zbl 07923376
Vasilyev, Vladimir (ed.), Differential equations, mathematical modeling and computational algorithms. DEMMCA 2021, Belgorod, Russia, October 25–29, 2021. Cham: Springer. Springer Proc. Math. Stat. 423, 253-267 (2023).
MSC:
35-XX
A numerical method for two-dimensional distributed-order fractional nonlinear Sobolev equation. (English) Zbl 07921155
Optimal control of solutions to the Cauchy problem for an incomplete semilinear Sobolev type equation of the second order. (English) Zbl 07908447
Numerical solutions for the Cauchy problem for the Oskolkov equation in the spaces of differential forms with stochastic coefficients. (English) Zbl 07899620
MSC:
35R60
Numerical investigation of the non-uniqueness of solutions of the Showalter-Sidorov problem for the Hoff mathematical model on a rectangle. (English) Zbl 07899619
MSC:
35Q99
On the Dirichlet problem for a class of non-uniformly elliptic equations with measure data. (English) Zbl 07833600
Boundary value problems with an integro-differential non-local condition for composite type differential equations of the fourth order. (Russian. English summary) Zbl 1537.35219
A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation. (English) Zbl 1536.35356
Normalized ground states for the lower critical fractional Choquard equation with a focusing local perturbation. (English) Zbl 1532.35502
Two-weight norm estimates for square functions associated to fractional Schrödinger operators with Hardy potential. (English) Zbl 1529.35552
Second-order difference equation for Sobolev-type orthogonal polynomials. II: Computational tools. (English) Zbl 1533.33029
Sharp well-posedness results of the Benjamin-Ono equation in \(H^s(\mathbb{T},\mathbb{R})\) and qualitative properties of its solutions. (English) Zbl 1533.35061
Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay. (English) Zbl 07777001
A stabilizer free weak Galerkin finite element method for second-order Sobolev equation. (English) Zbl 07777000
Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation. (English) Zbl 1531.65162
The eigenvalue problem for Kirchhoff-type operators in Musielak-Orlicz spaces. (English) Zbl 1527.35193
A simplified form to introduce one-dimensional Sobolev spaces and applications to ordinary differential equations. (English) Zbl 1536.46030
Almost everywhere nonuniqueness of integral curves for divergence-free Sobolev vector fields. (English) Zbl 1525.35005
Regularity results for Choquard equations involving fractional \(p\)-Laplacian. (English) Zbl 1525.35149
The Hardy inequality and large time behaviour of the heat equation on \(\mathbb{R}^{N - k} \times ( 0 , \infty )^k\). (English) Zbl 1540.35013
The fractional porous medium equation on manifolds with conical singularities. II. (English) Zbl 1531.35367
Transport of Gaussian measures with exponential cut-off for Hamiltonian PDEs. (English) Zbl 1529.35438
Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand’s cost inequality. (English) Zbl 07740622
Dynamics of a spatially homogeneous Vicsek model for oriented particles on a plane. (English) Zbl 1522.35508
Local Hölder continuity for fractional nonlocal equations with general growth. (English) Zbl 1522.35543
Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel. (English) Zbl 1528.65041
Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion. (English) Zbl 1522.35547
Low regularity well-posedness for KP-I equations: the dispersion-generalized case. (English) Zbl 1522.35449
Reviewer: Piotr Biler (Wrocław)
Nonlinear inverse problems for some equations with fractional derivatives. (Russian. English summary) Zbl 1520.35172
Decay rates for mild solutions of the quasi-geostrophic equation with critical fractional dissipation in Sobolev-Gevrey spaces. (English) Zbl 1529.35519
Well-posedness of boundary-value problems for conditionally well-posed integro-differential equations and polynomial approximations of their solutions. (English. Russian original) Zbl 1518.45009
J. Math. Sci., New York 272, No. 6, 816-825 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 175, 69-78 (2020).
Construction of a right inverse for the divergence in non-cylindrical time dependent domains. (English) Zbl 1516.35341
Qualitative properties of solutions of degenerate parabolic equations via energy approaches. (English) Zbl 1525.35001
Parabolic methods for ultraspherical interpolation inequalities. (English) Zbl 1518.58014
Reviewer: Mohammed El Aïdi (Bogotá)
Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations. (English) Zbl 07700753
Euler-Lagrangian approach to stochastic Euler equations in Sobolev spaces. (English) Zbl 1523.60112
Reviewer: Nikos Kavallaris (Karlstad)
Existence of weak solutions for a class of (p(b(u)), q(b(u)))-Laplacian problems. (English) Zbl 1524.35232
The concentration-compactness principle for the nonlocal anisotropic \(p\)-Laplacian of mixed order. (English) Zbl 1516.35454
Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces. (English) Zbl 1514.35023
Fractional Schrödinger equations with logarithmic and critical nonlinearities. (English) Zbl 1512.35615
On conditions of regular solvability for two classes of third-order operator-differential equations in a fourth-order Sobolev-type space. (English) Zbl 1509.34058
Incompressible Euler equations with stochastic forcing: a geometric approach. (English) Zbl 1517.35168
Reviewer: Alain Brillard (Riedisheim)
Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent. (English) Zbl 1512.35618
On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator. (English) Zbl 1507.35328
Weighted maximal \(L_q (L_p)\)-regularity theory for time-fractional diffusion-wave equations with variable coefficients. (English) Zbl 1505.35075
Existence of capacity solution for a nonlocal thermistor problem in Musielak-Orlicz-Sobolev spaces. (English) Zbl 1506.35116
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